Statistics and Probability Answers

Suppose a random selected family has 3 children. Define X to be the number of boys in the family, X = 0,1,2, and 3. Write the sample space, construct a probability distribution in table form, and make histogram.

The height of SHS is normally distributed with a mean of = 150 cm and a standard deviation of = 10 cm.

a) Sketch a normal curve that describes this distribution.

b) Approximately what percent of these students have a height greater than 170 cm?

Samples of 3 cards are drawn from a population of five cards numbered from 1-5.

1. How many are the possible outcomes?

2. What are the possible means?

3. What is the probability of getting 4 as a mean?

4. What is the probability of getting 2 as a mean?

5. What is the probability of getting 3.33 as a mean?

Given a population mean weight for baggage of 62 kg and a standard deviation of 8 kg. A sample of 50 baggage is taken. What is the probability that the sample mean differs from the population mean by at most 1kg?

C.Construct the probability distribution for the random variables described i each of tje following situations.

2.Four coins are tossed.Let Y be the random variable representing the number of heads that occur.Find the values of the random variable Y.

How many different ID cards can be made if there are 9 digits on a card and no digit can be used more than once? What if digits can be repeated?

Find class boundaries, midpoint, and width for the class 122-128

A Wendy's manager performed a study to determine a probability distribution for the number of people, X, waiting in a line during lunch. The results were as follows. Find and interpret the probability that 10 or more people are waiting in line for lunch?

A random sample of 900 members is found to have a mean of 4.45 CM can it be reasonably regarded as a sample from a large population whose mean is 5 cm and variance is 4 cm square obtain the 95% confidence limit for the mean in the population

A spider climbing out of a well is affected by the weather. When it rains, he falls back down the well with a probability of 1/10. In dry weather, he only falls back down with probability of 1/25. The probability of rain is 1/5.

(i) Draw the tree diagram of these events.

(ii) Find the probability he falls back down the well.

(iii) Find the probability that given he falls it was a rainy day.