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.Ă‚Â Ă‚Â round to 4 decimals
d) Determine the probability that between four and sixapplications will be accepted.Ă‚Â Ă‚Â round to 4 decimals.
e) Determine the probability that at least two of the applicantswill be accepted. (You may use the complement rulehere).Ă‚Â Ă‚Â round to 4 decimals.
f) What is the probability for the university to accept none ormore than 7 applications?Ă‚Â Ă‚Â Round to 4 decimals. Would itbe unusual for the university to accept no or more than 7applicants?Ă‚Â Ă‚Â Yes/No.
