Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Remember the equation
The slope intercept form is y = mx + b where m is the slope and b is the y-intercept
Step 2: Solve
We can see the y-intercept(where the line crosses the y axis) is at y = -3
We know slope is so we can see for every 1 square it moves right it moves 2 up so the slope would be
or 2
Plug what we know into the equation
y=2x-3
Step 3: Therefore Statement
Therefore the equation of the line shown below is y = 2x - 3
Answer:
a) 0.98% probability that 17 of the 29 people are men.
b) 3.86% probability that the first woman is reached on the 8th call
Step-by-step explanation:
For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
(a) What is the probability that 17 of the 29 people are men?
This is P(X = 17) when . So
0.98% probability that 17 of the 29 people are men.
(b) What is the probability that the first woman is reached on the 8th call?
On the first 7 trials, all men, each with a 78% probability.
On the 8th trial, a women, with a 22% probability. So
3.86% probability that the first woman is reached on the 8th call