Answer:
a) 0.064
b) 0.109
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 181 centimeter
Standard Deviation, σ = 7.3 centimeter
We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.
Formula:
a) P(person is between 160 and 170 centimeters)
b) P(person is higher than 190 centimeter)
P(x > 190)
Calculation the value from standard normal z table, we have,
Answer:
C. 0.98
Step-by-step explanation:
Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.
P(B<0) = 0.9*P(A<0)
P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))
P(Z<-x/y) = 0.9*P(Z<-2)
P(Z<-x/y) = 0.0205
x/y =2.04
Or y/x = 1 /2.05
y/x =0.49
Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)
= 2*(y/x)
= 2*0.49
= 0.98