Find the probability.The random variable x is the number of houses sold by a realtor in a single month at the Sendsom’s Real Estate office. Its probability distribution is as follows.   Find the probability that a realtor sells more than 4 houses in one month.

Find the indicated probability. Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending machine will only accept coins weighing between 5.48 g and 5.82 g. What percentage of legal quarters will be rejected?

Identify which of the 5 sampling techniques is being used. Five math classes are randomly selected out of 20 and ALL of the students from those classes are surveyed.

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The owner of a football team claims that the average attendance at games is over 794, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the decision is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

Original claim:  The mean pulse rate (in beats per minute) of a certain group of adult males is 73 bpm. The hypothesis test results in a p-value of 0.0096. Assume a significance level of α = 0.01. State a conclusion about the null hypothesis.  

Find the mean of the given probability distribution. x P(x) 0 0.20 1 0.14 2 0.29 3 0.18 4 0.19  

Find the z-score.The mean height of a basketball team is 6.3 feet with a standard deviation of 0.2 feet. The team’s center is 6.9 feet tall. Find the center’s z-score. Is his score unusual? (Consider unusual values are less than a z score of -2 or greater than a z score of 2.)

Sample data set: 10        22        12        18        11        27        10        15The standard deviation of the above data set is (round appropriately):

Identify the null hypothesis H0 and the alternative hypothesis HA. Use μ for a claim about a mean and p for a claim about a proportion. A student believes that the average grade on the final exam in statistics is less than 85 and she plans to test her belief. The correct set of hypotheses is:

Find the indicated probability. A bin contains 67 light bulbs of which 7 are defective. If 6 light bulbs are randomly selected from the bin with replacement, find the probability that all 6 selected bulbs are NOT defective.