CB.Stats.UNC-3.D: Interpret probabilities and parameters for a binomial distribution.

Interpret probabilities and parameters for a binomial distribution.

Example Problems

A volleyball player is practicing serves. The player attempts 50 serves, and the probability of landing any one serve in is

90\%

. Serves are independent. Let

X

represent the number of serves the player lands in out of 50 attempts.

Find the mean of

X

.

A softball player has

12

at-bats during a tournament. The probability that the player gets a hit in any one at-bat is

50\%

, and at-bats are independent. Let

X

represent the number of hits the player gets out of

12

at-bats.

Find the mean of

X

.

Ethan opens

85

Pokémon booster packs from a new set. The probability that any one pack contains a holographic card is

20\%

, and packs are independent. Let

X

represent the number of packs containing a holographic card out of

85

.

Find the mean of

X

.

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