Answer: 0.3741
Step-by-step explanation:
Poison probability ;
P(x) = [U(^x) e(^-U)] ÷ x!
Where U = mean
Note: e = exponential symbol
Number of checks that year = 171
Number of days in a year = 365
U = 171/365 = 0.468
Average checks per day = 0.4685
Probability that at least one check was written per day is can be calculated by;
P(not 0) = 1 - P(0)
Therefore,
P(x) = [U(^x) e(^-U)] ÷ x!
P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!
P(0) = [ 1 * 0.6259] ÷ 1
P(0) = 0.6259
Therefore,
P(not 0) = 1 - 0.6259 = 0.3741
Answer:
88unit^2
Step-by-step explanation:Area=
1/2(17+27)*4
Area=88unit^2
Answer:
x = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
Note that ΔBCD is a 3- 4- 5 triangle ( Pythagorean triple), hence CD = 4
Substitute given values into the equation
=
( cross- multiply )
3x = 24 ( divide both sides by 3 )
x = 8
Answer:
We are given the below data:
Sample Number Sample Mean
1 11.8
2 12.5
3 15.1
4 14.3
5 13.0
6 12.9
7 10.2
8 11.5
9 12.9
10 15.4
Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:


Therefore, the most likely mean of the population from which the samples were taken is 12.96