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3 years ago

What is a independent event

1 answer:

4 0

Step-by-step explanation: If two events are independent events, then the outcome of one event will not affect the outcome of the other event. I'll show an example.

Two coins are tossed. Find the probability of the following event.

P (heads and heads)

This problem would be dealing with independent events because the outcome of tossing 1 coin does not affect the outcome of tossing the second coin.

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Observe the map of the United States above. Areas indicated in red are where tornadic activity is most likely. Which

Citrus2011 [14]

Answer:c

Step-by-step explanation:just did the test

8 0

2 years ago

2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi

Oksana_A [137]

Answer:

(a) $E(X) = 950$

(b) $COV = 0.007255$

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

$E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950$

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$COV = \frac{\sigma}{E(X)}$

Where the standard deviation is given by

$\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892$

So the coefficient of variance is

$COV = \frac{6.892}{950}$

$COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

$P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\$

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

$P(X > 980) = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980) = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980) = 1 - P(Z < 4.28)\\\\$

The z-score corresponding to 4.28 is 0.99999

$P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\$

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0

3 years ago

You double the radius of a sphere. How does this affect the volume?

Afina-wow [57]

The volume of a sphere is defined as:
V=(4*pi*r^3)/3
then, if we double the radius of the sphere (r=2r):
V=(4*pi*(2r)^3)/3
V=(4*pi*(2^3*r^3))/3
V=(4*pi*r^3)/3*8

Then, the answer is that if you double the radius of the sphere, its volume is increased 8 times.

5 0

2 years ago

Is this correct? Explain. <br><br> 48 - 24k = 12 (4 - 2k)

VLD [36.1K]

It is correct because if you do the math you will come up with 48 - 24k = 48 - 24k

7 0

2 years ago

Read 2 more answers

What type of insurance pays personal expenses due to an accident that was the fault of the other driver who did not have suffici

Sphinxa [80]

The type of insurance which pays personal expenses due to an accident that was the fault of the other driver who did not have sufficient insurance is:

D. uninsured motorist

<h3>What is Insurance?</h3>

This refers to the coverage or protection which a person has for an unexpected event and pays periodic fee called premium.

With this in mind, if a motorist is involved in an accident, and the accident was the fault of the other driver who is not well insured, then uninsured motorist insurance covers the bill.