Answer: u = (41.659, 36.341)
Step-by-step explanation:
Constructing a 90% confidence interval for mean is given by the formulae below.
u = x + Zα/2 * σ/√n...... This is the upper limit
u = x - Zα/2 * σ/√n........ This is the lower limit.
u = population mean
x = sample mean = 39
σ = population standard deviation = 9
Zα/2 = Z score for a two tailed test with an a level of significance = 1.645 ( for 90% confidence level)
Upper limit
u = 39 + 1.645 * (9/√31)
u = 39 + 1.645 * (1.616)
u = 39 + 2.6590
u = 41.659
Lower limit
u = 39 - 1.645 * (9/√31)
u = 39 - 1.645 * (1.616)
u = 39 - 2.6590
u = 36.341
Answer: The required probability is 22.5%.
Step-by-step explanation:
Since we have given that
Probability of radio listeners live in Waterville = 0.75
Probability of radio listeners live in Newport = 0.25
Probability of radio station KTBC in Waterville = 0.20
Probability of radio station KTBC in Newport = 0.30
So, using "Multiplication rule of Probability":
Probability that the listener will be tuned in to station KTBC is given by
Hence, the required probability is 22.5%.
Find the number of eggs in 7 crates:
1 crate = 12 eggs
7 crates = 12 x 7 = 84 eggs
Add the 8 eggs in their fridge:
84 + 8 = 92 eggs
9/10-2/5= first you must get a common denominator
you don't have to change the first fraction but the second one 2/5 multiply the top and bottom number by 2
9/10- 4/10=5/10 is the answer but you can simplify because 5 divides into 10 so 5 goes into 5 1 time and 5 goes into 10 2 times
final answer is 1/2
What is the probability that the next card is higher than...
1? 9/10
2? 4/5
3? 7/10
4? 3/5
5? 1/2
6? 2/5
7? 3/10
8? 1/5
9? 1/10
10? 0