We choose 500 numbers uniformly at random from the interval[1.5,4.8].(a) Approximate the probability of the event that less than 65 of the numbers startwith the digit one.(b) Approximate the probability of the event that more than 160 of the numbersstart with the digit 3.

a = 0.0801

b = 0.1910

Step-by-step explanation:

a) probability of the event that numbers start with the digit 1 =P (1.5 < X <2)

=(2 - 1.5) / (4.8 - 1.5)=0.1515

mean =np

= 500 * 0.1515

= 75.76

std deviation =√(np (1 - p)) = 8.02)

probability of the event that less than 65 of the numbers start with the digit 1 = P(X < 65)

= P(Z < (64.5 - 75.76) / 8.02)

=P(Z < -1.4041)

= 0.0801

b) probability of the event of the numbers start with the digit 3 =P(3<X<4) =(4 - 3) / (4.8 - 1.5)

=0.3030

Here mean =np

= 500 * 0.3030

= 151.52

std deviation =√(np(1-p)) =10.28

probability of the event that more than 160 of the numbers start with the digit 3 = P(X > 160)

= 1 - P (Z < (160.5 - 151.52) / 10.28)

= 1 - P (Z < 0.8743)

= 1 - 0.8090

= 0.1910

which of the following can speed up the rate at which the liver breaks  

down alcohol?

question 1 options:

carbohydrates  

coffee  

nothing  

high-protein meals  

step-by-step explanation:

i have no clue at all sorry

step-by-step explanation: