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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 &#8805; 12)

5.29
If &#955; = 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 &#8805; 8.5)
b. P(x &#8805; 6.5)
c. P(x &#8805; 9.5)
d. P(3 &#8804; x &#8804; 5.5)

PLEASE SHOW WORK
THANKS

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

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