# Discrete and Continuious Probability Distribution

5.3

Used the binomial distribution table to callculate the following probabilites for a binomial random variable where n = 20 and p = 0.40

a. p(x = 10)

b. p(7< x <12)

c. P(x ≥ 12)

5.29

If λ = 5 and t=2 for a Poisson distribution,

a. Determine the mean and standard deviation of this Poisson ditribution

b. What is the probability of three or fewer successes?

5.45

For a normal distribution with a mean of 7.5 and a vaiance of 9, find the following probabilities:

a. P(x ≥ 8.5)

b. P(x ≥ 6.5)

c. P(x ≥ 9.5)

d. P(3 ≤ x ≤ 5.5)

PLEASE SHOW WORK

THANKS

https://brainmass.com/statistics/probability/discrete-continuious-probability-distribution-141631

#### Solution Preview

5.3 - Binomail Distribution probability is given nCr *p^n *(1-p)^(n-r) --- detail solutions are in the attached excel ...

#### Solution Summary

The following posting discusses discrete and continuous probability distributions.