Question

If 37% of high school students said that the excercise regularly, find the

probability that 5 randomly selected students will say thay they exercise

regularly. Answer as a percent with a % sign and no spaces or a decimal.

Convert your decimal to a % first and then round to the nearest thoudandth. If

leaving it in decimal form, round to the nearest hundred-thousandths.

Answer 1

To find the probability that 5 randomly selected students will say that they exercise regularly, you can use the binomial probability formula. In this case, the probability is 0.67%.

Step-by-step explanation:

To find the probability that 5 randomly selected students will say that they exercise regularly, we can use the binomial probability formula.

The formula is:

P(X=k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

• P(X=k) is the probability of getting k successes
• n is the number of trials
• k is the number of successes
• p is the probability of success in one trial

In this case, n = 5 (5 students), k = 5 (5 students saying they exercise regularly), and p = 0.37 (37% probability of a student exercising regularly).

Using the formula, we can calculate:

P(X=5) = C(5, 5) * 0.37^5 * (1-0.37)^(5-5)

P(X=5) = 1 * 0.37^5 * (1-0.37)^0

P(X=5) = 0.37^5

P(X=5) = 0.0067 or 0.67%

Answer 2

Answer: 0.6934%

Step-by-step explanation:

Probability is the branch of mathematics that is concerned with the numerical descriptions of how likely an event will occur or how likely a proposition is true

If 37% of high school students said that the exercise regularly, the

probability that 5 students who are randomly selected will say thay they exercise regularly will be:

= (37/100)^5=0.006934

= 0.6934%