Answer:
a. The Venn diagram is explained in the attached word file.
0.61
b. Not independent
Step-by-step explanation:
a. The hypothetical 1000 table for given situation is
Adult(A) Not Adult (not A) Total
Travel outside (T) 610 170 780
Not Travel outside (not T) 110 110 220
Total 720 280 1000
P(Adult and travel outside)=P(A and T)=610/1000=0.61
b. Multiplication rule for independent events is
P(A and B)=P(A)*P(B)
P(A and T)=0.61
P(A)*P(T)=0.72*0.78=0.56
As P(A and T) is not equal to P(A)*P(T), so event "being an adult" and "travel outside" are not independent.
she can count the number of row and the number of square in each row, or she can add 6 and 8
Hello There!
2y x 2y = 4y²
2y x 8 = 16y.
Put it together and you get the answer of:
4y² + 16y.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Answer:
a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:

a)Less than 19.5 hours?
This is the pvalue of Z when X = 19.5. So



has a pvalue of 0.4013.
40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b)Between 20 hours and 22 hours?
This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So
X = 22



has a pvalue of 0.8413
X = 20



has a pvalue of 0.5
0.8413 - 0.5 = 0.3413
34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.