Question

please help with questions 5&6 thank you so much in advance!

+-7.14 points ASWSBE13 5.E.053. 5. Suppose N 15 and r 6. What is the probability of x= 5 for n 107? (Round your answer to four decimal places.) - / 7.14 points ASWSBE13 5.E.047 6. You may need to use the appropriate appendix table or technology to answer this question. During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every four minutes. (a) What is the expected number of calls in one hour? (b) What is the probability of three calls in five minutes? (Round your answer to four decimal places.) (c) What is the probability of no calls in a five-minute period? (Round your answer to four decimal places.)

Answer 1

Ans:

5)

P(x=5)=⁶C₅*⁹C₅/¹⁵C₁₀

=6*126/3003

=0.2517

6)

a)Expected number of calls in one hour=1*(60/4)=15

b)average number of calls in five minutes=1*(5/4)=1.25

P(x=3)=exp(-1.25)*(1.25^3/3!)=0.0933

c)P(x=0)=exp(-1.25)=0.2865