Answer:
a) P = 0.039
b) The expected number of days is 10 days.
Step-by-step explanation:
The most appropiate distribution to use in this case is the geometric distribution, in order to calculate the probability of a success after k failure trials.
The probability of success, as each of the 10 products are assumed to have fair probabilities, is:
Then, the probability that our product is not selected any given day is:
a) The probability that exactly this product is selected exactly 10 days from now is the probability that is not selected (probbility q) for the next 9 days and selected (probability p) at the 10th day:
b) The expected number of days is calculated as:
Answer:
7/11 of the Pizza was left for Zachary.
Step-by-step explanation:
Zachary had 1 - 4/11
= 11/11 - 4 /11
= 7/11.
Answer:
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
Step-by-step explanation:
What is Confidence Interval?
The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
The confidence interval is given by
Where 
is the mean weight 
is the standard deviation 
is the critical value from t-table and n is the sample size.
The term 
is known as margin of error.
As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).
Step-by-step explanation:
0.6/100= 0.006 should be multiplied to decrease by 0.6%
There are two congruent triangles that are being formed from the lamppost, the light, the ground and the man. Always try to draw a picture for these types of problems. It helps a lot when solving. Your answer should be about 4.3ft
