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3 years ago

Y0UR M0MWY 100KS L1KE TH1$

Mathematics

1 answer:

Leno4ka [110]3 years ago

5 0

Answer:

nks

Step-by-step explanation:

tha

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2 years ago

Laura's school is holding an outdoor activities celebration event for its 20th anniversary. Laura decides to participate in the

Pachacha [2.7K]

Probabilities are used to determine the chances of Laura winning an activity

The value of p is 1/12
The expected score of the game is -1/6
The probability that she has a total score of 5 after two rounds is 0

<h3>How to calculate the value of p</h3>

To calculate the value of p, we make use of the following probability formula

$\sum P(x) = 1$

So, we have:

$\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + p + \frac 1{12} = 1$

Collect like terms

$\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + \frac 1{12} + p= 1$

Evaluate the sums, on the left-hand side

$\frac{11}{12} + p = 1$

Subtract 11/12 from both sides

$p = \frac 1{12}$

Hence, the value of p is 1/12

<h3>(b) How to calculate the expected score</h3>

This is calculated using the following expected value formula

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = -3 * \frac{3}{12} -1 * \frac 1{12} + 0 * \frac 4{12} + 1 * \frac 2{12} + 2 * \frac 1{12} + 4 * \frac 1{12}$

Evaluate the products

$E(x) = -\frac{9}{12} - \frac 1{12} + \frac 2{12} + \frac 2{12} + \frac 4{12}$

$E(x) = -\frac 2{12}$

Simplify

$E(x) = -\frac 1{6}$

Hence, the expected score of the game is -1/6

<h3>(c) The probability that she has a total score of 5 after two rounds</h3>

From the table, we have:

$P(5) = 0$

For after two rounds, we make use of the following equation

$P(5) * P(5) = 0 * 0$

$P(5) * P(5) = 0$

Hence, the probability that she has a total score of 5 after two rounds is 0