\(\displaystyle\frac{{31}}{{45}}\)

asked 2021-11-15

A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement from the batch.

a) What is the probability that the second one selected is defective given that the first one was defective?

b) What is the probability that both are defective?

c) What is the probability that both are acceptable?

a) What is the probability that the second one selected is defective given that the first one was defective?

b) What is the probability that both are defective?

c) What is the probability that both are acceptable?

asked 2021-09-01

There four foreign nationals in a group of fifteen people. Four people are chosen at random.

asked 2021-05-12

Select an adult at random. Let A = person has earned an advanced degree (masters or PhD) and T = person's career is teaching. Rank the following probabilities from smallest to largest. Justify your answer. P(A)P(T)P(A∣T)P(T∣A)

asked 2021-09-07

A box contains 50 balls, exactly ten of them are red and
the others are black.

If five balls are chosen at random from the box knowing that the first two balls are red, what is the probability that the third one is black?

If five balls are chosen at random from the box knowing that the first two balls are red, what is the probability that the third one is black?

asked 2020-11-22

If x is a binomial random variable, find the probabilities below by using the binomial probability table.

a) \(P(x < 11)\ for\ n = 15, p = 0.1\)

b) \(P(x \geq 11)\ for\ n = 25, p = 0.4\)

c) \(P(x = 2)\ for\ n = 20, p = 0.6\)

asked 2021-05-07

When a British travelling company reduces fares of a particular trip from London to Nottingham. A small taxi can carry four passengers. The time between calls for tickets is exponentially distributed with a mean of 30 minutes. Assume that each call orders one ticket. What is the probability that the taxi is filled in less than 3 hours from the time of the fare reduction?

asked 2021-09-18

A jar contains 3 red, 3 green, 7 blue, and 5 yellow marbles. If a single marble is chosen at random from the jar and it's color is recorded, give the sample space. What is the probability of each possible outcome?