Probability : Poisson Random Variables, Value and Variance

1. Suppose that the number of eggs laid on a tree leaf by a particular type of insect is a Poisson random variable with l = 1. (a) What is the probability that any particular leaf will have at least two eggs? (b) Suppose that a person searches through leaves on a tree until he finds one with at least two eggs. Letting X ...continues

Basic Probability (Averages)

1. Suppose that the monthly worldwide average of airplane crashes of commercial planes is 2.0. (a) What is the probability of exactly 6 crashes in the first 3 months? (b) What is the probability of having exactly 2 crashes in each of the first two months? (c) What is the probability of having exactly 2 crashes in the each of ...continues

Basic Probability

Each of 500 soldiers in an army company independently has a certain disease with probability 1/10[cubed]. This disease will show up in a blood test, and to facilitate matters blood samples from all 500 are pooled and tested. Please answer and (c) and (d) only. See attachment for related questions.

Basic Probability

Each of 500 soldiers in an army company independently has a certain disease with probability 1/10[cubed]. This disease will show up in a blood test, and to facilitate matters blood samples from all 500 are pooled and tested. See attachment for related questions (only a and b).

Basic Probability : Averages

1. Suppose that the monthly worldwide average of airplane crashes of commercial planes is 2.0. (a) What is the probability of exactly 6 crashes in the first 3 months? (b) What is the probability of having exactly 2 crashes in each of the first two months? (c) What is the probability of having exactly 2 crashes in the each ...continues

Probability (Pooled Test / Individual Tests)

Only answer parts C) and D) of the attached question, please. Each of 500 soldiers in an army company independently has a certain disease with probability 1/10[cubed]. This disease will show up in a blood test, and to facilitate matters blood samples from all 500 are pooled and tested. One of the 500 people is Jones, who kno ...continues

(a) Find P {X > 20} (b) What is the cumulative distribution function of X? (c) What is the probability that of 6 such types of

4. The probability density function if X, the lifetime of a certain type of electronic device (measured in hours} is given by: f(x) = 10/x^2 for x>10 and =0 for x<=10 (a) Find P {X > 20} (b) What is the cumulative distribution function of X? (c) What is the probability that of 6 such types of devices at least 3 will ...continues

Continuous Random Variables - Probability Density Function

The lifetime in hours of an electronic tube is a random variable having a probability density function given by f(x) = x e ^ (-x) {see attachment} Compute the expected lifetime of such a tube.

Probability : Normal Random Variables

Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters μ=71 and σ²=6.25. What percentage of 25-year-old mean are over 6 feet 2 inches tall? What percentage of men in the 6-footer club are over 6 foot 5 inches?

Probability : Normal Distribution

The lifetime of interactive computer chips produced by a certain semiconductor manufacturer are normally distributed with parameters μ=1.4x10^6 hours and σ=3x10^5 hours. What is the approximate probability that a batch of 100 chips will contain at least 20 whose lifetimes are less than 1.8x10^6? Please see attachmen ...continues