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Question 4.D: A soccer equipment manufacturer produces batches of soccer balls in a factory. After each production run, the quality assurance team examines a sample of the soccer balls to identify any defects. Let the random variable Y represent the number of defective soccer balls in a randomly selected batch. Table #1 characterizes the probability mass function (PMF). | Y | 0 | 1 | 2 | 3 | |---|---|---|---|---| | f(Y ? y) | 0.3 | 0.3 | 0.2 | 0.2 | Find the expected value. Two decimal places 1.3 Question 5. A: A bookstore offers three types of memberships: Gold, Silver, and Bronze. Historical data shows that 70% of Gold members renew their membership each year, 60% of Silver members renew their membership, and only 40% of Bronze members renew their membership. Additionally, it's known that 35% of the bookstore's members are Gold members, 45% are Silver members, and the remaining 20% are Bronze members. What is the probability that a randomly selected member will renew their membership? Three decimal places

          Question 4.D: A soccer equipment manufacturer produces batches of soccer balls in a factory. After each production run, the quality assurance team examines a sample of the soccer balls to identify any defects. Let the random variable Y represent the number of defective soccer balls in a randomly selected batch. Table #1 characterizes the probability mass function (PMF).

| Y | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| f(Y ? y) | 0.3 | 0.3 | 0.2 | 0.2 |

Find the expected value. Two decimal places

1.3

Question 5. A: A bookstore offers three types of memberships: Gold, Silver, and Bronze. Historical data shows that 70% of Gold members renew their membership each year, 60% of Silver members renew their membership, and only 40% of Bronze members renew their membership. Additionally, it's known that 35% of the bookstore's members are Gold members, 45% are Silver members, and the remaining 20% are Bronze members.

What is the probability that a randomly selected member will renew their membership? Three decimal places

Question 4.D: A soccer equipment manufacturer produces batches of soccer balls in a factory. After each production run, the quality assurance team examines a sample of the soccer balls to identify any defects. Let the random variable Y represent the number of defective soccer balls in a randomly selected batch. Table #1 characterizes the probability mass function (PMF).

| Y | 0 | 1 | 2 | 3 |
|—|—|—|—|—|
| f(Y ? y) | 0.3 | 0.3 | 0.2 | 0.2 |

Find the expected value. Two decimal places

1.3

Question 5. A: A bookstore offers three types of memberships: Gold, Silver, and Bronze. Historical data shows that 70% of Gold members renew their membership each year, 60% of Silver members renew their membership, and only 40% of Bronze members renew their membership. Additionally, it's known that 35% of the bookstore's members are Gold members, 45% are Silver members, and the remaining 20% are Bronze members.

What is the probability that a randomly selected member will renew their membership? Three decimal places

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