Question

7.4 Practice

Answer 1

The simulation of the medicine and the bowler hat are illustrations of probability

• The probability that the medicine is effective on at least two is 0.767
• The probability that the medicine is effective on none is 0
• The probability that the bowler hits a headpin 4 out of 5 times is 0.3281

The probability that the medicine is effective on at least two

From the question,

• Numbers 1 to 7 represents the medicine being effective
• 0, 8 and 9 represents the medicine not being effective

From the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two

So, the probability is:

p = 23/30

p = 0.767

Hence, the probability that the medicine is effective on at least two is 0.767

The probability that the medicine is effective on none

From the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none

So, the probability is:

p = 0/30

p = 0

Hence, the probability that the medicine is effective on none is 0

The probability a bowler hits a headpin

The probability of hitting a headpin is:

p = 90%

The probability a bowler hits a headpin 4 out of 5 times is:

P(x) = nCx * p^x * (1 - p)^(n - x)

So, we have:

P(4) = 5C4 * (90%)^4 * (1 - 90%)^1

P(4) = 0.3281

Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281

Read more about probabilities at:

brainly.com/question/25870256