Share
Explore BrainMass

Explore BrainMass

Probability

Probability - Scores for men on the verbal portion of the SAT test are normally distributed with a mean 509 and a standard deviation of 112. Randomly selected men are given the Columbia review course before taking the SAT test. Assume that the course has no effect. If 16 of the men are randomly selected, find the probability that their mean score is at least 590.

Scores for men on the verbal portion of the SAT test are normally distributed with a mean 509 and a standard deviation of 112. Randomly selected men are given the Columbia review course before taking the SAT test. Assume that the course has no effect. If 16 of the men are randomly selected, find the probability that their mea

Probability - The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. One classic use of the normal distribution is inspired by a letter to dear abby in which a wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the US Navy. given this information, find the probability of a pregnancy lasting 308 days or longer.

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. One classic use of the normal distribution is inspired by a letter to dear abby in which a wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the US Navy. given this i

Probability - statistics - 7. P (-0.5 < Z < -0.3) = 0.0736. 8. For normally distributed I.Q.'s with mean of 100 and standard deviation of 16, the probability that 25 randomly selected individuals have an average I.Q. less than 95 is 0.0594. 9. The standard error of a sampling distribution of means will never be larger than the standard deviation of the population upon which the sampling distribution is based.

Please answer true or false and give reason why. 7. P (-0.5 < Z < -0.3) = 0.0736. 8. For normally distributed I.Q.'s with mean of 100 and standard deviation of 16, the probability that 25 randomly selected individuals have an average I.Q. less than 95 is 0.0594. 9. The standard error of a sampling distribution of means

The concessions manager at the Clemson vs. USC football game must decide whether to have the vendors sell sun visors or umbrellas. Make the correct decision based on maximizing the expected profit.

3. The concessions manager at the Clemson vs. USC football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to weather forecasts for the Columbia SC on game day. The manager estimates that the followi

Probability of a Type II Error

Calculate the probability of a Type II error for the following test of hypothesis, given that µ = 203 H0 = µ = 200 H1 = µ != 200 significance = .05 standard deviation = 10 n= 100

Find probability from the distribution of the difference of two sample means.

Suppose that we have two normal populations with the means and standard deviations listed here. If random samples of size 25 are drawn from each population, what is the probability that the mean of sample 1 is greater than the mean of sample 2? Population 1: mean = 40 and SD = 6 Population 2: mean = 38 and SD = 8

The red lobster restaurant chain regularly surveys its customers. On the basis of these surveys, the management of the chain claims that 75% of its customers rate the food as excellent. A consumer testing service wants to examine the claim by asking 460 customers to rate the food. What is the probability that less than 70% rate the food as excellent?

The red lobster restaurant chain regularly surveys its customers. On the basis of these surveys, the management of the chain claims that 75% of its customers rate the food as excellent. A consumer testing service wants to examine the claim by asking 460 customers to rate the food. What is the probability that less than 70% ra

The restaurant in a large commercial building provides coffee for the building's occupants. The restaurateur has determined that the mean number of cups of coffee consumed in a day by all the occupants is 2.0 with a standard deviation of .6. A new tenant of the building intends to have a total of 125 new employees. What is the probability that the new employees will consume more than 240 cups per day?

The restaurant in a large commercial building provides coffee for the building's occupants. The restaurateur has determined that the mean number of cups of coffee consumed in a day by all the occupants is 2.0 with a standard deviation of .6. A new tenant of the building intends to have a total of 125 new employees. What is the

Binomial Distribution

A recent survey indicated that 82% of single women aged 25 years old will be married in their lifetime. Using binomial distribution find the probability that 2 or 3 women in a sample of 20 will never be married.

Probability - An industrial chemical to retard the spread of fire in paint has been developed. From past experience, 48% of sales calls will result in an order. a) What is the probability that the first order will come on the fourth sales caqll of the day? ...

An industrial chemical to retard the spread of fire in paint has been developed. From past experience, 48% of sales calls will result in an order. a) What is the probability that the first order will come on the fourth sales caqll of the day? b) If eight sales calls are mad in a day, what is the probability of receiving ex

Probability - A production process manufacturers alternators. On the average, 1% of the alternators will not perform properly when tested in the plant. When a large shipment of alternators is received at the plant, 100 are tested, and, if more that 2 are defective, the shipment is returned to the manufacturer. What is the probability of returning a shipment?

A production process manufacturers alternators. On the average, 1% of the alternators will not perform properly when tested in the plant. When a large shipment of alternators is received at the plant, 100 are tested, and, if more that 2 are defective, the shipment is returned to the manufacturer. What is the probability of retur

Axline Computers manufactures personal computers at 2 plants. ...

Axline Computers manufactures personal computers at 2 plants. The Texas plant has 40 employees, the Hawaii plant has 20. A random sample of 10 employees is to be asked to fill out benefit questionnaires. A. What is the probability that none of the employees in the sample work at the plant in Hawaii? B. What is the probab

Research design, probability, discrete and continuous distributions - 1. A small business owner is experiencing a high staff turnover and wants to design a study to investigate the problem. Please identify following elements of this research study. ... 2. Sara scored 75 in a statistics exam. The group mean was 70 and the standard deviation of the scores was 5. ...

1. A small business owner is experiencing a high staff turnover and wants to design a study to investigate the problem. Please identify following elements of this research study. a. Research problem b. Research design c. Hypothesis to be tested d. Data collection methods e. Unit of analysis 2. Sara scored 75 in a stat

Comparing z-scores and probability

Please see the attached file. 1. An article in USA Today stated that "Internal surveys paid for by directory assistance providers show that even the most accurate companies give out wrong numbers 15% of the time." Assume that you are testing such a provider by making 10 requests and also assume that the provider gives the wro

Probability and statistics - 1 Flying approximately 40 billion passenger -miles per month , US airlines average a bout 4 fatalities per month . Assume that probability distribution for X , the number of fatalities per month , can be approximated by a Poisson probability distribution . What is the probability that more than two fatalities will occur in September 2007.

1 Flying approximately 40 billion passenger -miles per month , US airlines average a bout 4 fatalities per month . Assume that probability distribution for X , the number of fatalities per month , can be approximated by a Poisson probability distribution . What is the probability that more than two fatalities will occur in Sept