Exam 5: Discrete Probability Distributions

The number of typographical errors in a document follows a Poisson distribution with a mean of 4 errors per page. Let $X$ represent the number of errors on 2 pages. Find $P ($ Greater than $1 )$ .

Last year, a manufacturer produced 1,850,000 DVD players. Of these, approximately 3 were defective. Assume that a simple random sample of $n = 170$ players is drawn. Use the Poisson approximation to the binomial distribution to compute the probability that fewer than four of the 170 DVD players were defective.

A(n) variable is one in which values are determined by chance.

The number of typographical errors in a document follows a Poisson distribution with a mean of 2 errors per page. Let $X$ represent the number of errors on 4 pages. Find $\sigma _ { x ^ { * } }$

Construct the probability distribution for the number of heads obtained when tossing four coins. Draw a graph of the distribution.

A binomial distribution is the probabilities of the possible outcomes of a binomial experiment.

Determine whether the table represents a discrete probability distribution. x P(x) 1 0.45 2 0.1 3 0.35 4 0.35

Determine the indicated probability for a binomial experiment with the given number of trials $n$ and the given success probability $p$ . $n = 9 , p = 0.7 , P ( 7 \text { or more } )$

Last year, a manufacturer produced 950,000 DVD players. Of these, approximately $6 \%$ were defective. Assume that a simple random sample of $n = 160$ players is drawn. Use the Poisson approximation to the binomial distribution to compute the standard deviation of the number of DVD players that were defective.

A survey asked 897 people how many times per week they dine out at a restaurant. The results are presented in the following table. Number of Times Frequency 0 143 1 244 2 237 3 140 4 78 5 24 6 23 7 8 Total 897 Consider the 897 people to be a population. Let $X$ be the number of times per week a person dines out for a person sampled at random from this population. Find the probability that a person dines out 4 or more times per week.

Use the multinomial formula and find the probability for the following data. n=6,=3,=2,=1, =0.58,=0.25,=0.17

A jewelry supplier has a supply of earrings which are 10% platinum. A store owner orders five sets of earrings from the supplier. If the supplier selects the pairs of earrings At random, what is the chance that the jewelry store gets exactly two sets of platinum Pairs?

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample Of 11 adult dogs is studied. What is the probability that more than 8 of them weigh 65 lb Or more?

It is estimated that 30% of households own a riding lawn mower. A sample of 10 households is studied. What is the probability that more than 7 of these own a riding Lawn mower?

The probability of a success remains the same for each trial in a binomial experiment.

The probability that federal income tax returns will have 0, 1, or 2 errors is 0.73, 0.23, and 0.04, respectively. If 10 randomly selected returns are audited, what is the Probability that eight will have no errors, two will have one error, and none will have Two errors?

It is estimated that 45% of households own a riding lawn mower. A sample of 12 households is studied. What is the mean number of households who own a riding Mower?

A(n) probability distribution consists of the finite number of values a random variable can assume and the corresponding probabilities of the values.

A coin is tossed five times. Find the probability of getting exactly three heads.

Determine whether the random variable described is discrete or continuous. The total value of a set of coins