34% of all college students major in STEM (Science, Technology, Engineering, and Math). If 45 college students are randomly selected, find the probability that a. Exactly 14 of them major in STEM.  b. At most 17 of them major in STEM.  c. At least 15 of them major in STEM.

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34% of all college students major in STEM (Science, Technology, Engineering, and Math). If 45 college students are randomly selected, find the probability that

a. Exactly 14 of them major in STEM. 
b. At most 17 of them major in STEM. 
c. At least 15 of them major in STEM. 
d. Between 10 and 15 (including 10 and 15) of them major in STEM.

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Note:Please repost part d as i can answer only 3 subparts as per my policy.

 

Given data,

p=34%=0.34

n=45

 

Binomial distribution probability is

P(X=x)=nCx px (1-p)n-x

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