A jar contains 3 pennies, 8 nickels and 6 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Find the probability X = 10. CorrectFind the probability X = 11. IncorrectFind the expected value of X

1) Probability X = 10 is 20.59%.

2) Probability X = 11 is 6.62%.

3) Expected value of X = 12.12

Step-by-step explanation:

We are given;

Amount of pennies in jar = 3

Amount of nickels in jar = 8

Amount of dimes in jar = 6

Total number of coins in the jar = 3 + 8 + 6 = 17 coins

Now, it is well known that;

1 penny = 1 cent

1 nickel = 5 cents

1 dime = 10 cents

A) Probability X = 10 cents

To achieve 10 cents by selecting two coins from the jar means both coins must be nickels.

Thus;

For the first selection, the probability of selecting a nickel would be 8/17.

The probability that the second coin is also a nickel is 7/16.

the probability of this outcome is; 8/17 × 7/16 = 7/34 = 20.59%.

2)Probability X = 11 cents

To achieve 11 cents by selecting two coins from the jar means one coin must be a penny while the other must be a dime.

For the first selection, the probability of selecting a penny is 3/17. The probability of selecting a dime in the second selection is 6/16.

the probability of this outcome is; 3/17 × 6/16 = 9/136 = 6.62%.

3) The expected value of X will be;

E(X) = 2[(3 × 1) + (8 × 5) + (6 × 10)]/(3 + 8 + 6)

E(X) = 2(103)/17

E(X) = 206/17

E(X) = 12.12

it’s supposed to be -4+45=41

step-by-step explanation:

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column