A group of students consisting of 20 males and 20 females were selected to participate in a research study.  If the students were selected using random sampling, what is the probability of picking a female student?

An experiment consists in asking 8 people whether they have a college degree, and counting the number of people who answer they do have one. List all the possible values of the random variable associated to this experiment.

Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of the last twenty years, always had difficulty shootinq free throws. Over the course of his career, his overall made free-throw percentaqe was 53.3%. Durinq one off-season, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shag made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-throw shooting using a 0.05 significance level. . Check the conditions of the Central Limit Theorem for this scenario. What is the minimum number of free throws Shaq would have to attempt so that it would meet the condition of a large population size?

A nylon connector manufacturing plant yields 15 % defective items. If 1000 connectors are randomly picked from the process, what is the probability that the number of defectives exceeds 170?"

If 25% of boys born weigh over 20 lbs and a sample of 150 was taken what are the odds that 35 or fewer of them weigh over 20 pounds?

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Electric motors are manufactured by a corporation. An electric motor has a 0.02 chance of becoming faulty. What are the chances that a random sample of 300 electric motors contains precisely 4 faulty motors?

A factory produces light bulbs with a 2% defect rate. If a random sample of 100 light bulbs is chosen, what is the probability of finding exactly 3 defective bulbs?

When a sample contains 100 or more cases, what is the correct probability distribution to use?

Formulate a dataset using the frequency distribution table of the random experiment for the number of boys in a committee of 3 people selected at random from 4 boys and 3 girls. Random variable or dataset indicates the number of boys.