a. What percent of people earn less than $40000?
Solution: Let S be the random variable of a salary of employee (in $), S ~ N(50000,20000). Then the random
variable X =−50000
20000
~N(0,1).
( < 40000) = ( <
40000 − 50000
20000 ) = ( < −0.5) = (−0.5) = 0.3085375.
Here Φ(x) denotes the cumulative distribution function of a standard normal distribution.
Answer: 31%.
b. What percent of people earn between $45000 and $65000?
Solution:
(45000 < < 65000) = (
45000 − 50000
20000 < <
65000 − 50000
20000 ) = (−0.25 < < 0.75)
= (0.75) − (−0.25) = 0.7733726 − 0.4012937 = 0.3720789.
Answer: 37%.
c. What percent of people earn more than $70000?
Solution:
( > 70000) = ( >
70000 − 50000
20000 ) = ( > 1) = 0.8413447.
Answer: 84%.
Answer:
The correct answer is 0.05882.
Step-by-step explanation:
A deck of cards have 52 cards, 13 cards of each suit.
We are drawing two cards without replacement.
We need to find the probability of getting a diamond as the first card.
Favorable outcomes are 13 and total number of outcomes are 52.
Thus this probability is 
.
Now for the next draw we again want to pick a diamond card.
Favorable outcomes are 12 and total number of leftover cards are 51.
Thus this probability is 
.
Now the probability that both cards are diamonds is 
× = 
= 0.0588235 ≈ 0.05882
The answer is 54. You subtract the highest value from the least value.
Answer:
16d
Step-by-step explanation:
multiply 16 by d as there are 16 players for each team
Answer:
Step-by-step explanation:
surface area of sphere=a
4pir^2=a
r^2=a/4p
r=root(a/4pi)
if radius is doubled
r1=2root(a/4pi)
r1^2=4(a/4pi)
a/a1=(4pia/4pi)/(4pi 4a/4pi)=1/4
so a is increased by 4 times
