A random number generator is used to select an integer from 1 to 5050 (inclusively). What is the probability of selecting the i
1 answer:
Answer:
The probability of selecting the integer 2424 is 0.0000198.
Step-by-step explanation:
The sample size of the set of random number generated is, <em>N</em> = 5050.
The integer 2424 is consisted in the range 1 - 5050.
The probability of an event, say E, is:
The probability of selecting the integer 2424 is:
Thus, the probability of selecting the integer 2424 is 0.0000198.
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Answer:
See below.
Step-by-step explanation:
First, use the co-function identity:
We can turn the second term into cosine:
Substitute:
Now, use the sum to product formulas. We will use the following:
Substitute:
Use the even-odd identity:
Therefore:
Replace the second term with the original term:
Proof complete.