In the distribution of temperatures, N(78, 1.4), find: P(75 x< 80). 0926 9074 5 degrees O.9000...
QUESTION 8 Let x be a binomial random variable with n=5 and p=0.7. Find P(X <= 4). O 0.1681 0.5282 0.4718 0.8319 0.3601
5. A random variable X follows a binomial distribution with n 35 and p-4. Use the normal approximation to the binomial distribution to find P(X < 16)
b) X-N(-8,12). Find: i P(X<-9.8) ii. P(X > -8.2) iii. P(-7< X <0.5)
4. Let (X,Y) be a bivariate normal random vector with distribution N(u, 2) where -=[ 5 ], = [11] Here -1 <p<1. (a) What is P(X > Y)? (b) Is there a constant c such that X and X +cY are independent?
For a standard normal distribution, find: P(-1.95<z<0.09)
Let X N(1,3) and Y~ N(2,4), where X and Y are independent 1. P(X <4)-? P(Y < 1) =? 4、 5, P(Y < 6) =? 7, P(X + Y < 4) =?
If x has a normal distribution with mean=146 and standard deviation = 40.86 , find P (100 < x < 146) * 2 points Your answer The life span of CASIO calculators has a normal distribution with average 2 points of 54 months and standard deviation of 8 months. What percentage of calculators will last for at most 36 months? * 98.93% O 1.07% O 1.22% 0 98.78% 100%
Compute the following probabilities assuming a standard normal distribution. a) P(Z < 1.4) b) P(Z < 1.12) c) P(-0.89 <z< 1.35) d) P(O<z<2.42)
For a standard normal distribution, find:
P(-2.43 < z < -1.87)
For a standard normal distribution, find: P(-2.43 <z<-1.87) Submit License Question 3. Points possible: 1 This is attempt 1 of 3.
(a) Find P(X ≤ 45).
(b) Find P(35 ≤ X ≤ 55).
(c) Find the probability mass function of X.
The following function is cumulative distribution function. 5 7 %520 T<-15 0.15-15 r<25 (r)一亻 0.70 25 、〈45 < 45X -