Using the Binomial distribution, If n=6, and p=0.6, find P(x=5)
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Using the Binomial distribution,
If n=6, and p=0.6, find P(x=5)
Given that
n = 6 , p = 0.6 , q = 1 - p = 1 - 0.6 = 0.4
X ~ Binomial (n = 6 , p = 0.6)
Note : nCr = n! / {r! * (n - r)!}
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- Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology like Excel or StatDisk to find the probability distribution given the probability p = 0.49 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X = k) 3 5 4-Using the Binomial distribution,If n=7 and p=0.8, find P(x=3)To compute P(X <7) for a binomial distribution, what would be an equivalent notation? O a. 1- P(X < 6) O b. 1- P(X < 7) O c. P(X s 6) O d. P(X < 7)
- Using the Binomial distribution, If n=10 and p=0.4, find P(x=4)Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. n = 30, x = 12, p = 0.20Compute 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 = 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 10Using the Binomial distribution,If n=6 and p=0.5, find P(x=3)Using the binomial distribution,If n=10 and p=0.2, find P(x=3)
