binomial distribution basic（12/26）

A fair coin is tossed five times.

What is the probability of obtaining two heads?

• 5/32

• 2/5

• 5/16

• 3/5

• 0

A fair coin is tossed seven times.

What is the probability of obtaining five tails?

• 21/128

• 35/128

• 35/64

• 5/7

• 0

A fair coin is tossed 16 times.

What is the mean number of Heads?

• 6

• 7

• 8

• 9

• 10

A company makes electronic components for TV's.

95% pass final inspection (and 5% fail and need to be fixed).

120 components are inspected in one day. What is the expected number that fail in one day?

• 3

• 4

• 5

• 6

• 7

A fair cubical die is thrown four times.

Use the binomial probability formula to calculate the probability of exactly two 5's.

• 7/2

• 11/108

• 1/9

• 25/216

• 1/3

The diagram shows a spinner made up of a piece of card in the shape of a regular pentagon, with a toothpick pushed through its center. The five triangles are numbered from 1 to 5.

Each time, the spinner is spun until it lands on one of the five edges of the pentagon. The spinner is spun four times.

Use the binomial probability formula to calculate the probability of exactly two 1's.

• 64/625

• 19/125

• 96/625

• 4/25

• 25/100

A fair coin is tossed five times.

Use the binomial probability formula to calculate the probability of at least four heads.

• 5/32

• 3/16

• 7/32

• 1/4

• 1/8

A fair coin is tossed six times.

Use the binomial probability formula to calculate the probability of at most two tails.

• 15/64

• 1/4

• 11/32

• 9/32

• 3/16

A fair cubical die is thrown four times.

Use the binomial probability formula to calculate the probability of at least two 3's.

• 19/1,296

• 170/1,296

• 19/44

• 5/36

• 1/3

The diagram shows a spinner made up of a piece of card in the shape of a regular pentagon, with a toothpick pushed through its center. The five triangles are numbered from 1 to 5.

Each time, the spinner is spun until it lands on one of the five edges of the pentagon. The spinner is spun five times.

Use the binomial probability formula to calculate the probability of at most three 4's.

• 3,104/3,125

• 1,024/3,125

• 2,304/3,125

• 2,944/3,125

• 2,104/3,125