Use the normal distribution to approximate the following binomial distribution: A die is rolled 84 times. What is the probability that the number 2 occurs more than 12 times? A) 0.3300 B) 0.6554 C) 0.3446 D) 0.6664

Use the normal distribution to approximate the following binomial distribution: A die is rolled 84 times. What is the probability that the number 2 occurs more than 12 times? A) 0.3300 B) 0.6554 C) 0.3446 D) 0.6664

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 2E

See similar textbooks

Related questions

Q: Why is the standard deviation of a sampling distribution smaller than the standard deviation of the…

A: According to information provided in the question, it is required to determine the reason why the…

Q: In a survey of 327 people, the following data were obtained relating gender to political…

A: The provided information is as follows:The total number of people survive is .The data set relating…

Q: You are given the sample mean and the population standard deviation. Use this information to…

A: sample size(n)=35Mean()=126.00population standard deviation()=$15.20confidence level=90%

Q: Determine the t critical value(s) that will capture the desired t-curve area in each of the…

A: Note:- Since you have posted a question with multiple subparts we will provide solutions only to the…

Q: A probability distribution has a mean of 12 and a standard deviation of 1/3. Use Chebyshev’s…

A: From the provided information,

Q: Let R be a random variable taking three possible values: 7% with probability 0.4, 5% with…

A: Given that R be a random variable taking three possible values: 7% with probability 0.4, 5% with…

Q: A biased coin is tossed 10 times and the probability of obtaining heads is 0.6. Find the probability…

A: Given that a biased coin is tossed 10 times the probability of obtaining heads is 0.6. Let X be the…

Q: A study was carried out to compare mean customer satisfaction scores at service centers in city A,…

A: Given information:

Q: Color Type Red Blue Totals A bag of marbles has the following composition: Solid 30 20 50 Stripped…

A: Given data table is,Color\ TypeSolid Stripped TotalsRed303161Blue 206989Totals50100150

Q: 17) 33 U.S. cities with large populations were surveyed to determine whether they had a professional…

A: We are given data from 33 U.S. cities about their teams. We were asked to create a Venn diagram to…

Q: An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the…

A: Probability is defined as mathematical representation of likelihood of an occurrence of an event.It…

Q: Starting salaries of 70 college graduates who have taken a statistics course have a mean of $44,298.…

A: Sample size: Sample mean: Standard deviation: Confidence level: Suppose the distribution of this…

Q: The random variable X represents the number of cherries in a cherry puff, and has the probability…

A: Given that X is the number of cherries with the following probability…

Q: Find the value of the probability of the standard normal variable Z corresponding to this area: P(Z…

A: From the provided information,The expression is as follow:P (Z >0.57)

Q: Major League Baseball's World Series is a maximum of seven games, with the winner being the first…

A: Given the probabilities of Atlanta winning each game are:GamesProbability of…

Q: Suppose that X is the number of successes in an experiment with 9 independent trials where the…

A: From the information, given thatLet X denotes the number of successes which follows binomial…

Q: . The radius R of a certain disk is a continuous random variable with pdf fR(r) = 3r 2 125, where 0…

A: Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts. In case…

Q: What is the probability of drawing a kind from each three separate deck of cards?

A: It is needed to find the probability of drawing a king from each three separate decks of cards.

Q: In Mendel's genetic experiments many characteristics of the plants were quantified, such as their…

A: The provided information is as follows:The total number of plants measured is .The total number of…

Q: In a random sample of four mobile devices, the mean repair cost was $70.00 and the standard…

A: sample size(n)=4Mean()=70.00standard deviation(s)=13.50confidence level=95%

Q: A company produces products at a cost of $35 each. Defective products cost an additional $15 each to…

A: Given that a company produces products at a cost of $35 each. Defective products cost an additional…

Q: 3. Consider the Poisson distribution with parameter μ, where > 0. Its probability mass function is…

A: a) To show that the Poisson distribution belongs to the exponential family of distributions with the…

Q: Some persons are arriving at a Caribbean rail ticket office during the morning peak commuter period…

A: Interarrival time and service time data is provided with corresponding frequency percentage.A table…

Q: The probability that an assembly line works correctly depends on whether the line worked correctly…

A: Let probability that line will work in the long run is x and the probability that line will not work…

Q: An electrical firm manufactures light bulbs that have a length life with mean equal to 800 hours,…

A: Solution-:Given: We wan to find,(a) What is the distribution of the average life of a random sample…

Q: A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green,…

A: The objective of this question is to find the probability that the first two candies drawn are…

Q: A vending machine contains 1000 lollipops. Some of the lollipops are red, and the others are blue.…

A: The objective of this question is to find the probability that there are 900 blue lollipops and 100…

Q: The odds that a delivery service will deliver a package by noon tomorrow are 9 to 1. What is the…

A: The odds that a delivery service will deliver a package by noon tomorrow are 9 to 1

Q: A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.18…

A: The margin of error is 0.18, and the population standard deviation is 0.6.

Q: For each of the following families, show whether all the pots in the family are Unimodal. unimodal…

A: Statement of Unimodal theorem: Let be a pdf and be a number such that if , then and Ii , then…

Q: Suppose that X is the number of successes in an experiment with 9 independent trials where the…

A: From the information, given thatLet X denotes the number of successes which follows binomial…

Q: Determine whether the events A and B are independent. P(A) = 0.2, P(B) = 0.4, P(A n B) = 0.48 Yes Ο…

A: P(Ac)=0.2P(Bc)=0.4P(AB)=0.48

Q: A recent census found that 51.9% of adults are female, 10.1% are divorced, and 5.9% are divorced…

A: Given,51.9% of adults are female.10.1% are divorced.And 5.9% are divorced females.Let F be the event…

Q: Suppose a group of 700 smokers (who all wanted to give up smoking) were randomly assigned to receive…

A: Assume that p1 is the population proportion of patients who received the new drug, and not smoking…

Q: A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on five numbers pays 6 to 1 (that…

A: Given information:The total number on the roulette wheel is Total number =38 ( 1 to 36, 0, and 00…

Q: A random sample of 18 BP customers used an average of 16.1 gallons to fill their vehicle with a…

A: It is given that Sample size = 18Sample standard deviation = 5.4Average = 16.1Significance levels =…

Q: Suppose 4 orange and 3 red identical objects are in a jar. A blindfolded person randomly selects two…

A: 4 orange objects3 red objectsTwo objects are selected without replacement:ObjectiveFind the branch…

Q: A probability distribution has a mean of 12 and a standard deviation of 1/3. Use Chebyshev’s…

A: Population mean μ = 12 Population standard deviation σ = 1/3We know that from Chebychev’s…

Q: 1. X~ t125 solve for 2. XX solve for P(X ≤1) 3. X F10,125 solve for P(X2 2.519) 2 4. X~ F1,14 solve…

A: 1) Random variable X follows t-distribution with degrees of freedom 125. Find . 2)Random variable X…

Q: c) Consider the following table: i 1 2 3 5 6 7 8 9 10 R₁ 0.7329 0.9755 0.6761 0.0917 0.1584 0.2858…

A: Given table,123456789100.73290.97550.67610.09170.15840.28580.85640.36280.43370.5822Assuming M/M/1…

Q: (a) to.10, 19 Recall the notation ta, u which the area under the t-curve with v degrees of freedom…

A: We have given a t-distribution.

Q: An insurance company has an initial surplus of 100 and premium loading factor of 20%. Assume that…

A: Given that an insurance company has an initial surplus of 100 and the premium loading factor of…

Q: Four fishermen are chosen at random. What is the probability that at least two of them were born on…

A: Sample space,S : All outcomes of four fisherman birthdays in the week.Event A,F : No one has same…

Q: 4. Random Process Let X (1) be a Random process, with mean x (t) = (t-1) and autocovariance Rx (11,…

A: It is given that X(t) is a random process with mean μX(t)=(t−1) and autocovariance RX(t1,t2) at time…

Q: A random sample of 97 cans of coke were observed and yeilded a mean of 353.3 mL and a standard…

A: Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts. In case…

Q: In an insurance company the number of claims are modelled as a Poisson process with rate > 0. Assume…

A: Number of claims are modelled as a Poisson process with rate .Premium income per unit time = Let…

Q: The grade point averages (GPA) for 12 randomly selected college students are shown on the right.…

Q: 4. Show that if a random variable has a uniform density with the parameters a and ß, the rth moment…

A: Question 4)The random variable follows uniform distribution such that, The objective is to find rth…

Q: Q2 Suppose Y is a discrete random variable such that P(Y= y) = K(1-a)-1,0 < a <1 for y = 1,2,... co.…

A: P(Y=y)=k(1-a)y-1 ; y=1,2,...

Q: Consider a factory making nails. The probability of any nail being too thin is 0.15. If a chosen…

A: We have find the solution for given three problems

Question

Use the normal distribution to approximate the following binomial distribution: A die is rolled 84 times. What is the probability that the number 2 occurs more than 12 times?

A) 0.3300

B) 0.6554

C) 0.3446

D) 0.6664

E) 0.6700

Video Video

Expert Solution