How do I solve this problem

2. A manufacturer produces light bulbs at a Poisson rate of 300 per hour. The probability that a light bulb is defective is 0.01

Pie

Answer:

On average it will take 13 hrs 53 minutes before the van is filled

Step-by-step explanation:

The first thing we need to do here is to find find the number of defective light bulbs

Using the poisson process, that would be;

λ * p

where λ is the poisson rate of production which is 300 per hour

and p is the probability that the produced bulb is defective = 0.012

So the number of defective bulbs produced within the hour = 0.012 * 300 = 3.6 light bulbs per hour

Now, let X be the time until 50 light bulbs are produced. Then X is a random variable with the parameter (r, λ) = (50, 3.6)

What we need to find however is E(X)

Thus, the expected value of a gamma random variable X with the parameter (x, λ) is;

E(X) = r/λ = 50/3.6 = 13.89

Thus the amount of time it will take before the Can will be filled is 13 hrs 53 minutes

5 0

4 years ago

PLEASE HELP!!! FINDING PROBABILITY MATH!!!

8090 [49]

The probability that a person wins the game is 32.1%

<h3>How to illustrate the probability?</h3>

Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.

Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:

= 24 + 4 = 28

The frequency table will be such that 28 or more has a relative frequency of 9. Therefore, the probability that a person wins the game will be:

= 9/28 = 32.1%

When you win 25% of the time, this illustrates that the number of products picked will be:

= 25% × 28

= 7 products.

The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:

= 1/6⁴

= 1/1296

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

3 0

2 years ago

Can someone please answer the questions and show their work and I will mark you brainiest!! 184.5 divided by 15 and 856.8 divide

MArishka [77]

184.5/ 15 = 12.3
856.8/ 8 = 107.1

8 0

3 years ago

What is the factored form of x2 – x – 2? (x – 2)(x 1) (x 2)(x 1) (x – 2)(x – 1) (x 2)(x – 1)

Alexxx [7]

A quadratic equation is an equation whose leading coefficient is of the second degree. The factored form of the quadratic equation x²-x-2 is (x+1)(x-2).

<h3>What is a quadratic equation?</h3>

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

The factored form of the quadratic equation can be done in the following manner,

$x^2-x-2\\\\= x^2-2x+x-2\\\\=x(x-2)+(x-2)\\\\=(x+1)(x-2)$