4.1 Exercise Set

A group of people were asked if they had run a red light in the last year. 115 responded "yes", and 384 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places

.230

A group of people were asked if they had run a red light in the last year. 109 responded "yes", and 116 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places

.484

A poll showed that 55.8% of Americans say they believe that some psychics can help solve murder cases. What is the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob =

44.2%

A poll showed that 48.2% of Americans say they believe that some people see the future in their dreams. What is the probability of randomly selecting someone who does not believe that some people see the future in their dreams. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob =

51.8%

In a brand recognition study, 931 consumers knew of Pepsi, and 34 did not. Use these results to estimate the probability that a randomly selected consumer will recognize Pepsi. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob =

96.5%

In a brand recognition study, 1115 consumers knew of Pepsi, and 37 did not. Use these results to estimate the probability that a randomly selected consumer will recognize Pepsi. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob =

96.8%

A geneticist conducts an experiment with beans, one sample of offspring consisted of 460 green beans and 158 yellow beans. Based on these results, estimate the probability of getting an offspring bean that is green. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob = Is the result reasonably close to the value of 3/4 that was expected?

prob = 74.4% ; yes

A geneticist conducts an experiment with beans, one sample of offspring consisted of 464 green beans and 151 yellow beans. Based on these results, estimate the probability of getting an offspring bean that is green. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob = Is the result reasonably close to the value of 3/4 that was expected?

prob = 75.4 % ; yes

A bag of M&M's has 5 red, 3 green, 8 blue, and 4 yellow M&M's. What is the probability of randomly picking: (give answer as a reduced fraction) 1) a yellow? 2) a blue or green 3) an orange?

yellow = 1/5 blue or green = 11/20 orange = 0

A bag of M&M's has 7 red, 4 green, 8 blue, and 3 yellow M&M's. What is the probability of randomly picking: (give answer as a reduced fraction) 1) a yellow? 2) a blue or green 3) an orange?

yellow = 3/22 blue or green = 6/11 orange = 0