With what standard deviation? (Round your answer to two decimal places.) red M&M

Question

With what standard deviation? (Round your answer to two decimal places.) red M&M;'s #14 Points possible: 1 . Total attempts: 1 ompany prices its tornado insurance using the following assumptions: . In any calendar year, there can be at most one tornado. . In any calendar year, the probability of a tornado is 0.12. The number of tomadoes in any calendar year is independent of the number of tomados in any other calendar year. Using the company's assumptions, calculate the probability that there are fewer than 4 tomadoes in a 22-year period.

Explanation / Answer

Ans:

Binomial distribution with n=22,p=0.12

Now,we have to find:

P(k<4)=P(k<=3)=P(k=0)+P(k=1)+P(k=2)+P(k=3)=

=22C0*0.120*0.8822+22C1*0.121*0.8821+22C2*0.122*0.8820+22C3*0.123*0.8819

=0.0601+0.1802+0.2580+0.2345

=0.7328

or use excel function:

P(k<4)=P(k<=3)=BINOMDIST(3,22,0.12,TRUE)=0.7328

  

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