The Wall Street Journal reported some interesting statistics on the job market. One statistic is that 40% of all workers say they would change jobs for “slightly higher
pay.” In addition, 88% of companies say that there is a shortage of qualified job
candidates. Suppose 16 workers are randomly selected and asked if they would change
jobs for “slightly higher pay.”

What is the probability that nine or more say yes?

What is the probability that three, four, five, or six say yes?

c. If 13 companies are contacted, what is the probability that exactly 10 say there is a
shortage of qualified job candidates?

d. If 13 companies are contacted, what is the probability that all of the companies
say there is a shortage of qualified job candidates?

e. If 13 companies are contacted, what is the expected number of companies that
would say there is a shortage of qualified job candidates
​

1 - (0.12)¹³ is probability if all of the companies say there is a shortage of qualified job candidates

Step-by-step explanation:

40% of all workers say they would change jobs for "slightly higher

pay

=> p  = 40/100 = 0.4

1 - p = 1 - 0.4 = 0.6

16 workers are randomly selected and asked if they would change

jobs for “Slightly higher pay.

nine or more say yes

=  ¹⁶C₉(0.4)⁹(0.6)⁷ + ¹⁶C₁₀(0.4)¹⁰(0.6)⁶ + ¹⁶C₁₁(0.4)¹¹(0.6)⁵ + ¹⁶C₁₂(0.4)¹²(0.6)⁴ + ¹⁶C₁₃(0.4)¹³(0.6)³ + ¹⁶C₁₄(0.4)¹⁴(0.6)² + ¹⁶C₁₅(0.4)¹⁵(0.6)¹ + ¹⁶C₁₆(0.4)¹⁶(0.6)⁰

three, four, five, or six

¹⁶C₃(0.4)³(0.6)¹³ + ¹⁶C₄(0.4)⁴(0.6)¹² + ¹⁶C₅(0.4)⁵(0.6)¹¹ + ¹⁶C₆(0.4)⁶(0.6)¹⁰

88% of companies say that there is a shortage of qualified job

candidates.

=> p = 0.88

1-p = 0.12

13 companies are contacted

probability that exactly 10 say there is a shortage of qualified job candidates = ¹³C₁₀(0.88)¹⁰(0.12)³

all of the companies say there is a shortage of qualified job candidates

= 1 - none of the company say there is shortage

= 1 -  ¹³C₀(0.88)⁰(0.12)¹³

= 1 - (0.12)¹³

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.