• 1.A die is rolled 10 times. Find the probability of rolling exactly 1 five. (Round to four decimal places as needed.)

2. A survey finds that customers are charged incorrectly for 4 out of every 30 items, on average. Suppose a customer purchases 15 items. Find the following probability. A customer is not charged incorrectly for any item. The probability is? (Round to four decimal places as needed.)

3. The probability that a part produced by a certain factory's assembly line will be defective is

0.028. Find the probabilities that in a run of 4 items, the following results are obtained. (Round to four decimal places as needed.)

(a) Exactly 4 defective items

(b) No defective items

(c) At least 1 defective item

4. According to an airline, a particular flight is on time 87% of the time. Suppose 35 flights are randomly selected and the number of on time flights is recorded. Find the probabilities of the following events occurring.

a. All 35 flights are on time (Round to four decimal places as needed.)

5. The probability that a male will be color-blind is 0.033. Find the probabilities that in a group of 48 men, the following will be true. (Round to four decimal places as needed.)

a. Exactly 5 are color blind

b. No more than 5 are color blind

c. At least one is colorblind

6. Make a probability distribution for the given set of events.

The sums that appear when two fair four-sided dice (tetrahedrons) with sides 5,10,15, and 20 are tossed

Make chart with the sums of 10,15,20,25,30,35,40 (answer with simplified fractions)