# A card is drawn, with replacement, from a regular deck of cards 16 times. Let random variable X represent number of clubs among those 16 cards selected (there are 13 clubs in every deck; there are 52 cards in a deck). Find the variance of X,

If the standard deviation of a random variable is 5,what is its variance?

. Any normal distribution is

continuous

discrete

.

some are discrete, some are continuous

a binomial distribution

.

is Poisson distribution

. Let X be a binomial random variable with number of trials 100 and expected value 20. What is the probability of success of X?

. There are 17 blue, 5 green, and 3 red balls in a jar. We randomly select a ball and return it back to the jar. We repeat it 8 times. To find the probability of the event that every time we get a green ball we need to use the following distribution:

binomial with number of trials 8 and probability of success 0.2

binomial with number of trials 25 and probability of success 0.5

binomial with number of trials 5 and probability of success 0.2

binomial with number of trials 8 and probability of success 0.8

binomial with number of trials 8 and probability of success 1/3

Poisson Distribution with average 5

Poisson Distribution with average 8

binomial with number of trials 25 and probability of success 0.2

. The average number of homes with 3 or more bedrooms sold by Acme Reality is 14 homes per week. To find the probability that exactly 3 such homes will be sold tomorrow we need to use the following distribution:

Poisson distribution with mean 2

Poisson distribution with mean 14

Poisson distribution with mean 7

Poisson distribution with mean 3

Binomial with number of trials 7 and probability of success 2/7

Binomial with number of trials 2 and probability of success 2/7

Binomial with number of trials 7 and probability of success 1/7

Standard normal distribution

. A random variable X assumes values 1,2,3,…, 8,9,and 10, each with the same probability, namely the probability 0.1. Find the probability of X getting at least 3.

. A random variable X assumes values 1,2,3,…, 8,9,10, each with the same probability, namely the probability 0.1. Find the probability of X getting no more than 4.

10. A card is drawn, with replacement, from a regular deck of cards 16 times. Let random variable X represent number of clubs among those 16 cards selected (there are 13 clubs in every deck; there are 52 cards in a deck). Find the variance of X,

. The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last less than 7 months.Round to the nearest thousandth.

. The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months.Find the probability that an instrument produced by this machine will last between 7 and 12 months. Round to the nearest thousandth