Please solve parts A,B, and C. Also please show excel functions used or work Bet
ID: 3209508 • Letter: P
Question
Please solve parts A,B, and C. Also please show excel functions used or work
Between 11 p.m. and midnight on Thursday night. Mystery Pizza gets an average of 4.5 telephone orders per hour Find the probability that at least 35 minutes will elapse before the next telephone order. (Round intermediate values and your final answer to 4 decimal places.) Find the probability that less than 13 minutes will elapse. (Round intermediate values and your final answer to 4 decimal places.) Find the probability that between 13 and 35 minutes will elapse. (Round intermediate values and your final answer to 4 decimal places.)Explanation / Answer
Solution:
a) Here =4.5 per hour
= =4.5/60
=0.07
P( at least 35 min elapse before the next telephone order)
Now ,P(X x)= e^-x
P(X 35) = e^-35
=e^-35*.07
=e^-2.6
=0.07427
b) P(less than 13 min will elaspse)
P(X<13)=1-P(X 13)
=1-e^-13
=1-e^-1.65
=1-0.1920
=0.808
c) P( between 13 and 35 min will elapse)= P(13<X<35)
=P(X<35)-P(X<13)
=(1-e^-35)-(1-e^-13)
=e^-13*0.075 -e^35*0.075
=e^-2.6-e^-1.65
=0.808-0.07427
=0.7337