Question

Suppose a random number n is taken from 690 to 850 in uniform distribution. find the probability number n is greater than the 790

Answer 1

Answer:

The probability number n is greater than the 790 is 834.

Step-by-step explanation:

Step 1: Random number creation is a procedure where a series of numbers or symbols that cannot be realistically anticipated better than by random chance are created, frequently using a random number generator.

Step 2: In statistics, a uniform distribution is a kind of probability distribution where all possible outcomes have an identical likelihood of occurring. Because there is an equal chance of getting a heart, club, diamond, or spade, a deck of cards has uniform distributions.

Step 3: Random number is selected from 690 to 850 in Uniform distribution

a = 690

b = 850

Mean of uniform distribution is given by

$\text { Mean }=\frac{a+b}{2}=\frac{690+850}{2}=770$

Standard deviation is given by

$\sigma=\sqrt{\frac{(b-a)^2}{12}}=\sqrt{\frac{(850-690)^2}{12}}=\mathbf{4 6 . 1 8 8}$

c) 90 th percentile for random number selection is given by

$90 \text { th percentile }=690+0.9 \times(850-690)=834$

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