Using the Binomial probability table, find: (a) P(x = 3| n = 10, p =.6) (b) P(x

Question

Using the Binomial probability table, find: (a) P(x = 3| n = 10, p =.6) (b) P(x = 2| n = 6. p = .3) (c) P(x lessthanorequalto 2| n = 9. p = .5) (d) P (x > 5| mu = 16, p = .3) Sam's Club which sells computer in bulk packages knows that the number of detective diskettes in a package is a random variable with the probability distribution given here a. Find the probability that a package of the diskettes will contain at greater than 5 defective disks. b Find the probability that the package will contain between 1 and 4 detective inclusively. c. Find the probability that the number of defective diskettes will be at most calls arrive at the rate of 60 per hour at the reservation desk for United. a. Find the Poisson probability of receiving 10 calls in a 5-minute interval. b. Find the Poisson probability of receiving 12 calls in 20-minute interval.

Explanation / Answer

1)P(x)=nCi pi (1-p)n-i

(a)P(x=3|n=10,p=0.6)=10C3 p3 (1-p)10-3= 120*0.63*(1-0.6)7=0.0425

(b)P(x=2|n=6,p=0.3) = 6C2 *0.32*0.74 = 0.3241

2)

(a)the probablity that a package of diskettes will contain at grater than 5 defective disc = P(X>5)= P(6) = 0.08

(b) the probablity that the package will contain between 1 and 4 defective respectively =P(1)+P(2)+P(3)+P(4)

=0.21+0.12+0.10+0.10

=0.55

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