Help me solve questions 2, 3, and 4.

Of course! Please provide the questions so I can assist you in solving them.

Question 2:

If the probability of getting a head when tossing a coin is p, what is the probability of getting a tail?

Answer:

The probability of getting a tail is 1 - p.

Question 3:

A bag contains 3 red balls, 2 blue balls, and 1 green ball. If a ball is drawn at random from the bag, what is the probability that it is either red or blue?

Answer:

The probability of drawing a red ball is 3/6 = 1/2.
The probability of drawing a blue ball is 2/6 = 1/3.
Therefore, the probability of drawing either a red or blue ball is 1/2 + 1/3 = 5/6.

Question 4:

A survey found that 60% of people in a city have a college degree. If 120 people are randomly selected from the city, what is the probability that at least 70 of them have a college degree?

Answer:

We can use the binomial distribution to calculate this probability.

Let X = the number of people with a college degree in the sample of 120.
Then X follows a binomial distribution with parameters n = 120 and p = 0.6.

The probability of having at least 70 people with a college degree is given by:

P(X ≥ 70) = 1 - P(X < 70)
= 1 - Σ[i=0 to 69] (120 choose i) - (0.6)^i - (0.4)^(120-i)
≈ 0.0692

Therefore, the probability of having at least 70 people with a college degree in the sample is approximately 0.0692.

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