Compute P(x) using the binomial probability formula. Then determine whether the normal distribution canbe used to estimate this probability. If so, approximate P(x) using the normal distribution and compare theresult with the exact probability.n = 68, p = 0.71, and x = 53Approximate P(x) using the normal distribution. Select the correct choice below and fill in any answer boxesin your choice.OA. P(x)=(Round to four decimal places as needed.)B. The normal distribution cannot be used to approximate the binomial distribution in this case.Compare the normal approximation with the exact probability. Select the correct choice below and fill in anyanswer boxes in your choice.OA. The exact probability is greater than the approximated probability by(Round to four decimal places as needed.)B. The exact probability is less than the approximated probability by(Round to four decimal places as needed.)OC. The exact and approximated probabilities are equal.O D. The normal distribution cannot be used to approximate the binomial distribution in this case.

The question is about probability distribution.Given :No. of trials ( n ) = 68Success probability (…

Answered: Compute P(x) using the binomial…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Fill in the P (X = x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are −3, 2, 4, 5, and 6. Value x of X P (X = x) −3 2 0.11 4 0.20 5 6 0.16
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. X P(x) 0 0.033 1 0.162 0.305 0.305 0.162 0.033 2 3 O A. G= child(ren) (Round to one decimal place as needed.) O B. The table does not show a probability distribution. 4 5 A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x's number values are not associated with probabilities. D. No, not every probability is between 0 and 1 inclusive. ☐E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable…
K 7 The probability that a bachelor's degree recipient in 2014 majored in biology is 20 Set-up an equation to find the odds of the event occurring. P(E) P (E') 20 20 (Type whole numbers.) .. 6 The odds of a bachelor's degree recipient in 2014 majoring in biology occurring are (Type whole numbers.) Find the odds of the event occurring. to
Assume that a procedure yields a binomial distribution. Determine the probability given the number of trials and the probability of success. Round to four decimal places. n = 13, p = 0.18, find P(3)
Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n= 44, p 0.5, and X 27 ..... For n = 44, p= 0.5, and X = 27, use the binomial probability formula to find P(X). (Round to four decimal places as needed.)
X P(X) 0.1 0.1 2 0.25 3 0.55 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places
K Suppose a basketball player is an excellent free throw shooter and makes 92% of his free throws (i.e., he has a 92% chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player gets to shoot three free throws. Find the probability that he misses all three consecutive free throws. Round to four decimal places. OA. 0.2213 OB. 0.9995 OC. 0.0005 OD. 0.7787
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IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. + Part (a) O Part (b) Part (c) Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Write the probability statement. P(X > x) = |0.98
Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n = 53, p = 0.7, and X=41 For n = 53, p=0.7, and X=41, use the binomial probability formula to find P(X). 0.0632 (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? OA. Yes, because √np(1-p) ≥ 10 OB. No, because np(1-p) ≤ 10 OC. No, because √np(1-p) ≤ 10 OD. Yes, because np(1-p) 2 10
Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=51 p=.03 x=20

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