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3 years ago

7

A person in a casino decides to play blackjack until he loses a game, but he will not play more than 3 games. Let L denote a los

s and W denote a win. What is the sample space for this random experiment

1 answer:

Cloud [144]3 years ago

4 0

(L,L,L),(L,L,W),(L,W,L),(L,W,W),(W,L,L),(W,L,W),(W,W,L),(W,W,W) 8 total

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Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste

lidiya [134]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$ In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$ And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

For this case we have the following distribution given:

X 3 4 5 6

P(X) 0.07 0.4 0.25 0.28

We can calculate the mean with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$

In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$

And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

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3 years ago

5 star + 20 pts + Branliest guarentee!!!

fiasKO [112]

Answer:

Figures A, C, and D. B isn't one since it is curved

7 0

3 years ago

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What is a peregrine falcon's maximum speed while diving to catch prey,

Sergeu [11.5K]

This is an incomplete question, here is a complete question.

What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1 mile = 5280 feet)

Answer : The speed in feet per second is, 293 feet/s

Step-by-step explanation :

As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we have to determine the speed in feet per second.

As we know that:

1 mile = 5280 feet

1 hour = 3600 second

So,

1 mile/hr = 1.4667 feet/s

As, 1 mile/hr = 1.4667 feet/s

So, 200 mile/hr = $\frac{200\text{ mile/hr}}{1\text{ mile/hr}}\times 1.4667\text{ feet/s}$

= 293.34 feet/s ≈ 293 feet/s

Therefore, the speed in feet per second is, 293 feet/s

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3 years ago

Maya runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

andreev551 [17]

Answer:

5.6 miles.

Step-by-step explanation:

7/80=x/64 is our equation

Cross multiply to solve for x

x=7*64/80

x=5.6mi

Hope this helps ^-^

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2 years ago

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Combine Like Terms:<br><br> 5x – 2y + 12 z + 6y<br><br> SHOW WORK<br> will give brainliest

Tcecarenko [31]

Answer:

5x+4y+12z

Step-by-step explanation:

i hope this help

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3 years ago