Answer:
a. Mean = 20
Sd = 4
b. Probability of X = 20 = 0.1960
Step-by-step explanation:
we have
n = 25
p = 80% = 0.8
mean = np
= 0.8 * 25
= 20
standard deviation = √np(1-p)
= √25*0.8(1-0.8)
=√4
= 2
probability that exactly 20 favours ban
it follows a binomial distribution
= 25C20 × 0.8²⁰ × 0.2⁵
= 53130 × 0.01153 × 0.00032
= 0.1960
Probability of X = 20 = 0.1960
Answer:
y = 3x+.5
Step-by-step explanation:
We know the y intercept (the value when x=0) is .5
We can find the slope from 2 points
(0,.5) and (1,3.5)
m = (y2-y1)/ (x2-x1)
= (3.5-.5)/(1-0)
= 3/1
= 3
We can use y = mx+b since we know the slope and the y intercept
y = 3x+.5
1/3m +3 - 5/6m= -15
I am going to change the first fraction to match the second fraction
2/6m +3 - 5/6m= -15
Simplify by subtracting 5/6m from 2/6m
-3/6m +3 = -15
Subtract 3 from each side
-3/6m = -18
Take the minus signs off
3/6m = 18
Simplify
1/2m = 18
Divide by 1/2 on each side
m= 18 ÷ 1/2= 36
Option D, m is 36
Hope this helped
