### Binomial Distribution Problem**Problem 2:**Suppose a random variable \( W \) follows a binomial distribution with parameters \( n = 34 \) and \( p = 0.73 \); that is, \( W \sim \text{Bin}(34, 0.73) \). Rounding to 4 decimal places where necessary:a. Calculate \( P(W = 26) \).b. Calculate \( P(W > 31) \).c. Calculate \( P(24 < W \leq 30) \).d. What is the probability that \( W \) is within one standard deviation of \( E(W) \), the expected value of \( W \)?

To solve these problems, we'll need to use the formula for the binomial probability mass function…

Answered: 2. Suppose a random variable W follows…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

= Assume that the probability of a being born with Genetic Condition B is p random sample of 174 volunteers. 29/30. A study looks at a Find the most likely number of the 174 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ Let X represent the number of volunteers (out of 174) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0 = Use the range rule of thumb to find the minimum usual value µ-2o and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =
Assume that the random variable X is normally distributed when mean u= 80 and the standard deviation o=15 compute the probability P( X >92) A. 0.2420 B. 0.1977 C. 0.7881 D. 0.2119
4. Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.9 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is ? The standard deviation is ? The probability that fawn will weigh exactly 3.1 kg is P(x = 3.1) = ? The probability that a newborn fawn will be weigh between 2.8 and 3.8 is P(2.8 < x < 3.8) = ? The probability that a newborn fawn will be weigh more than 3.02 is P(x > 3.02) = ? P(x > 2.5 | x < 3.4) = ? Find the 79th percentile?
Assume that the probability of a being born with Genetic Condition B is p = 11/60. A study looks at a random sample of 1384 volunteers. Find the most likely number of the 1384 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ = Let X represent the number of volunteers (out of 1384) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0 = Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+20. Enter answer as an interval using square-brackets only with whole numbers. usual values=
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.1 kg and a standard deviation of o=4.9 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) -C
Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per minute and a standard deviation of σ=12.5 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79beats per minute. The probability is _____.(Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79beats per minute. The probability is ____. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the…
Assume that the probability of a being born with Genetic Condition B is π=π=14/15. A study looks at a random sample of 173 volunteers.Find the most likely number of the 173 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ = Let XX represent the number of volunteers (out of 173) who have Genetic Condition B. Find the standard deviation for the probability distribution of XX. (Round answer to two decimal places.) σ = Use the range rule of thumb to find the minimum usual value μ-2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers. ? Round your answer to one decimal place.usual values =
TF.13 The English proficiency test scores of the students from a large high school have mean μ = 76 points and standard deviation σ = 8.8 points. Let x̄ be the average salary of a random sample of 40 students. a) Find the probability that x̄ is between 72 and 80, inclusive. b) Find the probability that x̄ is at least 77.
Assume that females have pulse rates that are normally distributed with a mean of u=75,0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. ne a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. ent The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals,…
1. Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with a mean of 231.1 ft and a standard deviation of 5.6 ft.A tree of this type grows in my backyard, and it stands 230 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.P(X<230) = Enter your answer accurate to 4 decimal places. 2. Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−0.7<z<b)=0.7352P find b.b= (Round to two decimal places.) Do not round until the very last step. Any intermediate steps should include all decimal places.
= Assume that the probability of a being born with Genetic Condition B is p sample of 291 volunteers. 29/30. A study looks at a random Find the most likely number of the 291 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 291) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =
Suppose that X is a normal random variable with a mean of μ = -50 and a standard deviation of o= 8. Determine the value of x so that Pr[X > x] = Pr[Z > -0.75], where Z is the standard normal random variable. A. 56 B. 44 C.-6 OD. -44 E. -56

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS