C i know because we had this in our school
Question options :
a. They should be between 64 and 76 inches tall.
b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.
c. They should be at or below the 95th percentile, which is 74.92 inches.
d. None of the above.
Answer: a. They should be between 64 and 76 inches tall.
Step-by-step explanation:
Given the following :
Assume men's height follow a normal curve ; and :
Mean height = 70 inches
Standard deviation= 3 inches
According to the empirical rule ;
Assuming a normal distribution with x being random variables ;
About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.
Using the empirical rule :
95% will fall between + or - 2 standard deviation of the mean.
Lower limit = - 2(3) = - 6
Upper limit = 2(3) = 6
(-6+mean) and (+6+ mean)
(-6 + 70) and (6+70)
64 and 76
Answer:
Step-by-step explanation:
the probability that x iPads are defective in the sample follows a hypergeometric distribution, so it is calculated as:
Where 
Because we have a N elements with k elements that are defective and we are going to take a sample of n elements. So, replacing N by 100, k by 7 and n by 3, we get:
Now, the probability of rejecting the shipment is the probability that at least one iPad of the sample is defective, so:
Then:
Finally, the probability of rejecting the shipment is:
Answer:
Step-by-step explanation:
Hello,
Replace x by its value, so here
for x = 3
x + 29 = 3 + 29 = 32
Thanks
