No explanation necessary / required. Looking to check my answers against those of an expert.

Question 1:

American Airlines' flights from Denver to Seattle are on time 80 % of the time. Suppose 7 flights are randomly selected, and the number on-time flights is recorded.

a) The probability that at least 4 flights are on time is =

b) The probability that at most 5 flights are on time is =

c) The probability that exactly 2 flights are on time is =

Question 2:

About 6% of the population has a particular genetic mutation. 300 people are randomly selected.

Find the standard deviation for the number of people with the genetic mutation in such groups of 300.

Question 3:

About 6% of the population has a particular genetic mutation. 200 people are randomly selected.

Find the mean for the number of people with the genetic mutation in such groups of 200.

Question 4:

A poll is given, showing 50% are in favor of a new building project.

If 10 people are chosen at random, what is the probability that exactly 7 of them favor the new building project?

Question 5:

If a seed is planted, it has a 80% chance of growing into a healthy plant.

If 6 seeds are planted, what is the probability that exactly 1 doesn't grow?

Question 6:

Determine if the following scenario is a binomial experiment. If it is not binomial, then select all of the reasons why.

A bowl of candy contains 18 Pluto Bars, 16 Jolly Farmers, 17 Husky's Kisses, 26 Finnish Fishes, and 20 HairHeads. Little Tiana decides to pull out 77 pieces of candy, without putting any back, and count only the number of Jolly Farmers that she grabs.

• The variable is not discrete.
• There is not a fixed number of trials.
• There are more than two outcomes.
• The trials are not independent.
• The probability of success is not the same for each trial.
• All of the conditions for being a binomial experiement are met, i.e., this is a binomial experiment.

Question 7:

About 24% of flights departing from New York's John F. Kennedy International Airport were delayed in 2009. Assuming that the chance of a flight being delayed has stayed constant at 24%, we are interested in finding the probability of 10 out of the next 100 departing flights being delayed. Noting that if one flight is delayed, the next flight is more likely to be delayed, which of the following statements is correct?We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.

• We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.
• We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability.
• We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.

Question 8:

Determine whether the given procedure results in a binomial distribution. If not, give the reason why not.

Toss a coin, and record the number of tosses until the firstheads

• Not binomial; there is not a fixed number of trials
• Not binomial; there are more than two outcomes for each trial
• Not binomial; the trials are not independent
• Not binomial; formore than oneof the reasons given in the above answer choices
• This procedure results in a binomial distribution