Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a)
= 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking
where n = 37.
is normally distributed with mean 62.5 in and standard deviation
. So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.
Answer: 35/24 is the answer for the first part only.
Use calculator soup on google search to answer the rest.
Step-by-step explanation:
Answer:
a). 0.294
b) 0.11
Step-by-step explanation:
From the given information:
the probability of the low risk = 0.60
the probability of the high risk = 0.40
let
represent no claim
let
represent 1 claim
let
represent 2 claim :
For low risk;
so,
= (0.80 * 0.60 = 0.48),
= (0.15* 0.60=0.09),
= (0.05 * 0.60=0.03)
For high risk:
= (0.50 * 0.40 = 0.2),
= (0.30 * 0.40 = 0.12) ,
= ( 0.20 * 0.40 = 0.08)
Therefore:
a), the probability that a randomly selected policyholder is high-risk and filed no claims can be computed as:
![P(H|C_o) = \dfrac{P(H \cap C_o)}{P(C_o)}](https://tex.z-dn.net/?f=P%28H%7CC_o%29%20%3D%20%5Cdfrac%7BP%28H%20%5Ccap%20C_o%29%7D%7BP%28C_o%29%7D)
![P(H|C_o) = \dfrac{(0.2)}{(0.48+0.2)}](https://tex.z-dn.net/?f=P%28H%7CC_o%29%20%3D%20%5Cdfrac%7B%280.2%29%7D%7B%280.48%2B0.2%29%7D)
![P(H|C_o) = \dfrac{(0.2)}{(0.68)}](https://tex.z-dn.net/?f=P%28H%7CC_o%29%20%3D%20%5Cdfrac%7B%280.2%29%7D%7B%280.68%29%7D)
![P(H|C_o) = 0.294](https://tex.z-dn.net/?f=P%28H%7CC_o%29%20%3D%200.294)
b) What is the probability that a randomly selected policyholder filed two claims?
the probability that a randomly selected policyholder be filled with two claims = 0.03 + 0.08
= 0.11
Answer:
I dont have a question but thanks so much for doing that!
Step-by-step explanation: