Answer:
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

The mean time for the component failure is 2500 hours.
This means that 
What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?
The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
The reasonable estimate of the current customer price index is 195. The option B is the correct option.
<h3>Customer price index</h3>
Customer price index is the price index which measures the weight average of price of basket of customers goods or services.
It can be given as,

Here
is the cost of market basket in current period and
is the cost of market basket in the base period.
Cost of market basket in current period is

Cost of market basket in 1983 is,

Substitute all the values in the formula

Thus the value of current CPI is 168.5 which is near about the 170.
Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.
Learn more about the customer price index here;
brainly.com/question/25495502
1.
558 can be rounded to 600.
44 can be rounded to 40.
600 x 40 = 24,000
2.
9 x 802 = 9 (800 +2) =7200 + 18 = 7218
3.
3699 x 7 = (3700-1) x 7 = 25,900 - 7 = 25,893
4.
34 x 93 = 34 x (100-7) = 3400 - 238 = 3162
5.
678 x 87 = 58,986
Answer:
19.) 
20.) 
21.) 
22.) 
Step-by-step explanation:
Glad to help
--Chris Jackson [High School Junior: Calculus Senior Honor Student]
Answer:
2(5y+3)
Step-by-step explanation:
10y+6
Factor out 2
2*5y + 2*3
2(5y+3)