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The acceptance rate for a university is 42 percent. Assuming the binomial to the normal distribution....

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Statistics

The acceptance rate for a university is 42 percent. Assuming thebinomial to the normal distribution. Of the next 10 applicationswhat is the probability that they will accept: (WHEN ROUNDING DONOT ROUND ANY CALCULATION UNTIL THE VERY END)

a) Find the mean: μ = n ⋅ p =  round to a singledecimal.

b) Calculate the standard deviation. σ = n ⋅ p ⋅ q=  . Round to 4 decimals.

c) Determine the probability that exactly four applicants willbe accepted.  round to 4 decimals

d) Determine the probability that between four and sixapplications will be accepted.  round to 4 decimals.

e) Determine the probability that at least two of the applicantswill be accepted. (You may use the complement rulehere).  round to 4 decimals.

f) What is the probability for the university to accept none ormore than 7 applications?  Round to 4 decimals. Would itbe unusual for the university to accept no or more than 7applicants?  Yes/No.

Answer & Explanation Solved by verified expert
3.9 Ratings (539 Votes)
Sincein the question it is said that binomial to normal is assumed sohere I use normal    See Answer
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