The probability that a customer's order is not shipped on time is 0.06. A particular customer places three orders, and the order
1 answer:
Answer:
a) There is a 83.06% probability that all orders are shipped on time.
b) There is a 15.90% probability that exactly one order is not shipped ontime.
c) The probability of at least two orders being late is 1.02% + 0.02% = 1.04%.
Step-by-step explanation:
Probability:
What you want to happen is the desired outcome.
Everything that can happen iis the total outcomes.
The probability is the division of the number of possible outcomes by the number of total outcomes.
In our problem, there is:
-A 6% probability that a customer's order is not shipped on time.
-A 94% probability that a customer's order is shipped on time.
We have these following orders:
O1 - O2 - O3.
(a) What is the probability that all are shipped on time?
The probabilities that each order is shipped on time are O1 = 0.94, O2 = 0.94 and O3 = 0.94. So:
= 0.8306
There is a 83.06% probability that all orders are shipped on time.
(b) What is the probability that exactly one is not shipped ontime?
The order's can be permutated. What this means? It means that we can have O1 late and O2,03 on time, O2 late and O1,O3 on time and O3 late and O1, O2 on time. We have a permutation of 3 elements(the orders) with 2 and 1 repetitions(2 on time and one late).
The probability that an order is late is:
= 0.053 for each permutation
Considering the permutations:
There is a 15.90% probability that exactly one order is not shipped ontime.
(c) What is the probability that two or more orders are not shipped on time?
P = P1 + P2, where P1 is the probability that two orders are late and P3 is the probability that all three orders are late.
P1
Considering the permutations, the probability that two orders are late is:
There is a 1.02% probability that two orders are late
P2
There is a 0.02% probability that all three orders are late.
The probability of at least two orders being late is 1.02% + 0.02% = 1.04%.
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Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
Total number of ways is then calculated as:
9514 1404 393
Answer:
138.77
Step-by-step explanation:
Your scientific or graphing calculator will have exponential functions for bases 10 and e. On the calculator shown in the first attachment, they are shifted (2nd) functions on the log and ln keys. Consult your calculator manual for the use of these functions.
The value can be found using Desmos, the Go.ogle calculator, or any spreadsheet by typing 10^2.1423 as input. (In a spreadsheet, that will need to be =10^2.1423.) The result using the Go.ogle calculator is shown in the second attachment.
You can also use the y^x key or the ^ key (shown to the left of the log key in the first attachment). Again, you would calculate 10^2.1423.
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We have assumed your log is to the base 10. If it is base e (a natural logarithm), then you use the e^x key instead. Desmos, and most spreadsheets, will make use of the EXP( ) function for the purpose of computing e^( ). You can type e^2.1423 into the Go.ogle calculator.
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<em>Additional comment</em>
There are also printed logarithm tables available that you can use to look up the number whose log is 0.1423. You may have to do some interpolation of table values. You should get a value of 1.3877 as the antilog. The characteristic of 2 tells you this value is multiplied by 10^2 = 100 to get the final antilog value.
The logarithm 2.1423 has a "characteristic" (integer part) of 2, and a "mantissa" (fractional part) of 0.1423.
