If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win exactly five out of seven games in a series against the Rangers?

0.234

Step-by-step explanation:

Given that:

Proportion, (p) ; Islanders beat rangers = 5/6 = 0.8333

Probability that islander win exactly 5 out of 7 games

1 - p = 0.1667

Usingbthe binomial distribution formula :

P(x =x) = nCx * p^n * (1 - p)^(n - r)

P(x = 5) = 7C5 * 0.833^5 * 0.1667^2

P(x = 5) = 21 * 0.833^5 * 0.1667^2

P(x = 5) = 0.23405369484362783281917

P(x = 5) = 0.234

n

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950