Stats: Review Chapter 9 - Random Variables

Suppose you toss a fair coin 4 times. Let X = the number of heads you get. Find the probability distribution of X (in order).

• X = 1, 2, 3, 4

• X = 0, 1, 2, 3, 4

• P(X) = 0.0625, 0.25, 0.375, 0.25, 0.0625

• P(X) = 0.071, 0.286, 0.286, 0.286, 0.071

• P(X) = 0.5, 0.25, 0.125, 0.0625

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Suppose you toss a fair coin 4 times. Let X = the number of heads you get. Find P(X ≤ 3).

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Suppose you toss a fair coin 4 times. Let X = the number of heads you get. Describe the probability, P(X ≤ 3), in words.

• There is a 93.75% chance of flipping 3 heads.

• There is a 93.75% chance of flipping no heads.

• There is a 93.75% chance of flipping less than 4 heads.

• There is a 0.9375% chance of flipping less than 4 heads.

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If X = the number of televisions in a randomly selected U.S. household, the probability distribution of X is given here. Is X a discrete or a continuous random variable? Explain.

• Discrete

• Continuous

• There are gaps between the values of X.

• There are no gaps between the values of X.

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If X = the number of televisions in a randomly selected U.S. household, the probability distribution of X is given here. Find P(X < 2).

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If X = the number of televisions in a randomly selected U.S. household, the probability distribution of X is given here. Describe the probability, P(X < 2), in words.

• There is a 0.28% chance that a randomly selected US home has less than 2 tv's.

• There is a 28% chance that a randomly selected US home has no more than 1 tv.

• There is a 28% chance that a randomly selected family has no more than 1 tv.

• There is a 61.1% chance that a randomly selected US home has less than 2 tv's.

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If X = the number of televisions in a randomly selected U.S. household, the probability distribution of X is given here. What is the probability that a randomly selected household has at least 2 televisions?

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If X = the number of televisions in a randomly selected U.S. household, the probability distribution of X is given here. Use technology to create a histogram to model the probability distribution. Describe its shape.

• 
• 
• Symmetric

• Skewed Left

• Skewed Right

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If X = the number of televisions in a randomly selected U.S. household, the probability distribution of X is given here. Calculate the mean of X

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If X = the number of televisions in a randomly selected U.S. household, the probability distribution of X is given here. Interpret the mean of X.

• The average number of TVs in US homes is 2.305.

• If many US homes were selected, the mean number of TVs would be about 2 on average.

• If many US homes were selected, the mean number of TVs would be about 3 on average.

• If many US homes were selected, the mean number of TVs would be about 2.305 on average.

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