Answer:
Probability = 0.502
Step-by-step explanation:
We are given the following data :
Hours Count Percent
1 18 3.44
2 55 10.50
3 81 15.46
4 109 20.80
5 88 16.79
6 66 12.60
7 39 7.44
8 17 3.24
9 17 3.24
10 19 3.63
15 15 2.86
We need to calculate the probability
P(Length of stay of exactly 1 is less than or equal to 4)
P(
) = P(Y = 1) + P(Y = 2) + P(Y = 3) + P(Y = 4)
We convert the percent into probabilities by dividing them with 100. This gave us the required probabilities.
Answer:
a)0.099834
b) 0
Step-by-step explanation:
To solve for this question we would be using , z.score formula.
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.
a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.
Standard Deviation = √variance
= √0.16 = 0.4
Standard deviation = 0.4
Mean = 21.37
x = 20.857
z = (x-μ)/σ
z = 20.857 - 21.37/0.4
z = -1.2825
P-value from Z-Table:
P(x<20.857) = 0.099834
b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.
z score formula used = (x-μ)/σ/√n
x = 20.857
Standard deviation = 0.4
Mean = 21.37
n = 100
z = 20.857 - 21.37/0.4/√100
= 20.857 - 21.37/ 0.4/10
= 20.857 - 21.37/ 0.04
= -12.825
P-value from Z-Table:
P(x<20.857) = 0
c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.
Answer:
-1/4 meter per minute
Step-by-step explanation:
Since, the volume of a cube,
Where, r is the edge of the cube,
Differentiating with respect to t ( time )
Given, 
Also, V = 8 ⇒ r = ∛8 = 2,
By substituting the values,
Hence, the rate of change of an edge is -1/4 meter per minute.
"Per" essentially means "divided by." To find pieces per ounce, divide pieces by ounces.
(252 pieces)/(14 ounces) = (252/14) pieces/ounce = 18 pieces/ounce
Answer:
And we can use the normal standard table and the complement rule and we got:
And the best answer would be:
C 0.07
Step-by-step explanation:
Let X the random variable who represent the amount of soda filled in large bottles and we know this:
And we want to find this probability:
And for this case we can use the z score formula given by:
And replacing we got:
And we can use the normal standard table and the complement rule and we got:
And the best answer would be:
C 0.07
