Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1
The probability that randomly selected thermometer reads greater than 2.07 is
P(z > 2.07) = 1 -P(z < 2.07)
Using z score table to find probability below z=2.07
P(Z < 2.07) = 0.9808
P(z > 2.07) = 1- 0.9808
P(z > 2.07) = 0.0192
The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192
Solution:
we are given that
A number picked at random from the numbers 1 through 15 is prime.
As we know the number between 1 and 15 which are primes are listed below
2,3,5,7,11,13.
Here total number of favourable outcomes are 6.
The numbers 1 through 15 are as below:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.
Here total number of possible outcoes are 15.
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime is 0.4