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 probabili n=40, p=0.3, and X= 15 PX) = (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? OA. Yes, the normal distribution can be used because np(1-p) < 10. O B. No, the normal distribution cannot be used because np(1-p)< 10. OC. Yes, the normal distribution can be used because np(1-p)2 10. O D. No, the normal distribution cannot be used because np(1-p)2 10. Approximate POX) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. OA POX)= (Round to four decimal places as needed.) O B. There is no solution. By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice. OA. (Round to four decimal places as needed.) O B. There is no solution.

Assume that a procedure yields a binomial distribution with a trial repeated n=7n=7 times. Use either the binomial probability formula (or technology) to find the probability of k=2k=2 successes given the probability p=0.51p=0.51 of success on a single trial.(Report answer accurate to 4 decimal places.)P(X=k)=

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 = 68, p = 0.71, and x = 53 Approximate P(x) using the normal distribution. Select the correct choice below and fill in any answer boxes in 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 any answer 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…

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=56  p=0.5   x=30  A)For n=56​, p=0.5​, and X=30, use the binomial probability formula to find​ P(X).     B)Can the normal distribution be used to approximate this​ probability? A. ​No, because np(1−p)≤10   B. ​Yes, because np(1−p)≥10   C. ​Yes, because np(1−p)≥10   D. ​No, because np(1−p)≤10   C) Approximate​ P(X) using the normal distribution. Use a standard normal distribution table. A. ​P(X)=enter your response here ​(Round to four decimal places as​ needed.)   B. The normal distribution cannot be used.     D) By how much do the exact and approximated probabilities​ differ? A.enter your response here ​(Round to four decimal places as​ needed.) B. The normal distribution cannot be used.   E)By…

Using the binomial Distribution n=11 and q= 0.33 , find P ( x=9)

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

Using the Binomial Distribution with n = 11 and q= 0.33 , find P (x=5)

Compute P(X) using the binomial probability formula. Then detemine whether the nomal 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= 40, p= 0.35, and X= 25 ...... . P(X)=(Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? O A. Yes, the normal distribution can be used because np(1- p)<10. O B. No, the normal distribution cannot be used because np(1 - p)< 10. O C. Yes, the normal distribution can be used because np(1-p) 10. O D. No, the normal distribution cannot be used because np(1-p) 2 10. Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. O A. PX)=A (Round to four decimal places as needed.) O B. There is no solution. By how much do the exact and approximated probabilities differ? Select the correct…

Assume that the probability of a being born with Genetic Condition B is p=11/60. A study looks at a random sample of 1443 volunteers.Let X represent the number of volunteers (out of 1443) who have Genetic Condition B. Find the standard deviation for the probability distribution of X.(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.usual values =

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=60​, p=0.10 and X=15 ​P(X)equals=____ ​(Round to four decimal places as​ needed.) Can the normal distribution be used to approximate this​ probability? A. ​Yes, the normal distribution can be used because ​np(1−​p)<10. B. ​No, the normal distribution cannot be used because ​np(1−​p)<10. C. No, the normal distribution cannot be used because ​np(1−​p)≥10. D. ​Yes, the normal distribution can be used because ​np(1−​p)≥10. Approximate​P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. A. ​P(X)=_____ ​(Round to four decimal places as​ needed.) B. There is no solution. By how much do the exact and approximated probabilities​ differ?…