( Question Part 2 ) A binomial distribution has p = 022 and n-73. Use the normal
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Question
( Question Part 2 )
A binomial distribution has p = 022 and n-73. Use the normal approximation to the binomial distribution to answer parts (a) through (d) below a) What are the mean and standard deviation for this distribution? b) What is the probability of exactly 10 successes? c) What is the probability of 11 to 17 successes? d) What is the probability of 7 to 14 successes? Click here to view page 1 of the standard normal probability table Click here to view page 2 of the standard normal probability table (Round to two decimal places as needed.)Explanation / Answer
a.
mean = n*p = 73*0.22 = 16.06
standard dev. = (n*p*q)^0.5 = (73*0.22*0.78)^0.5 = 3.54
b.
Exactly 10
C(73,10)*(0.22^10)*(0.78^63) = 0.026
c.
0.5283
d.
0.2751
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