Answer:
The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Step-by-step explanation:
Let <em>X</em> = time between calls made to Amazon's customer service.
The average time between calls is, <em>β</em> = 10 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter 
The probability distribution function of <em>X</em> is:
Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:
Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Answer: All heights could be the same based on probability
Step-by-step explanation:
(n+12)(n-7) = n^2 + 5n - 84
Answer:
7, 11, 14 feet from shortest to longest
Step-by-step explanation:
Let's say that the shortest pipe is equal to x, and work from there.
The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x
The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.
The three pieces added up make up the 32 feet pipe, so we can write this as
(2*x) + (4+x) + x = 32
2*x + 4 + x + x = 32
4 * x + 4 = 32
subtract 4 from both sides to isolate the x and its coefficient
4 * x = 28
divide both sides by 4 to isolate the x
x= 7
Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long
Answer:
15 times
Step-by-step explanation:
By spinning once, the probability of landing on 2 is 1/8
The probability of landing on 5 is 1/8
The probability of landing on 2 or 5 is 1/8 + 1/8 = 2/8 = 1/4
So spinning 60 times, the number of times we expect a landing on 2 or 5 will be ;
1/4 * 60 = 15 times
