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A nationwide survey found that 72% of people in the United States like pizza. If 3 people are selected at random, what is the probability that all the three like pizza?
A school survey found that 9 out of 10 students like pizza. If three students are chosen at random with replacement, what is the probability that all the three students like pizza?
A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is the probability of choosing a green and then a yellow marble?
A card is chosen at random from a deck of 52 cards. It is then replaced and a second card is chosen. What is the probability of choosing a jack and then an eight?
A car dealership is giving away a trip to Rome to one of their 120 best customers. In this group, 65 are women, 80 are married and 45 married women. If the winner is married, what is the probability that it is a woman?
At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology?
The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?
20% of a company’s employees are engineers and 20% are economists. 75% of the engineers and 50% of the economists hold a managerial position, while only 20% of non-engineers and non-economists have a similar position. What is the probability that an employee selected at random will be both an engineer and a manager?
If 2 cards are selected from a standard deck of cards. The first card is placed back in the deck before the second card is drawn. Find the following probabilities:
a) P (Heart and club)
d) P (2 Aces)
b) P (Red card and 4 of spades)
e) P (Queen of hearts and King)
c) P (Spade and Ace of hearts)
f) P (2 of the same card)
20) Find the same probabilities for problem #19 but this time, the card is not placed back in the deck before the 2nd card is drawn.
A population consists of five (5) measurements 2, 3, 6, 5, and 7.
- What is the mean of the population?
- What is the variance of the population?
- How many different samples of size 𝑛 = 2 can be drawn from the population?
- What is the mean of the sampling distribution of the sample means?
- What is the variance of the sampling distribution of the sample means with a sample size of 2?
