The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women. among the last 10 participants there have been only 2 women. if participants are picked randomly, what is the probability of getting 2 or fewer women when 10 people are picked

The probability of getting 2 or fewer women when 10 people are picked

P(x≤ 2) =

Step-by-step explanation:

The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women

That is probability of participants of television quiz of equal numbers of men and women that is 50 %of men and 50% of women.

p = 50/100 = 1/2

q = 1-p = 1 - 1/2 = 1/2

n =10

we will use binomial distribution

The probability of getting 2 or fewer women when 10 people are picked

P(x≤ 2) = P(x=0)+P(x=1)+P(x=2)

          =   +

          by using formula

on simplification we get

     = +

    = +

  =

Conclusion:-

The probability of getting 2 or fewer women when 10 people are picked

P(x≤ 2) =

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

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