Question

Consider a box containing the following numbers.

3, 5, 10, 14, 17

The SD for the box is 5.27.

Suppose 100 draws are made at random with replacement from the box.

The expected value for the average of the draws is ___ give or take ___

Find the chance that the average of the draws is less than 10.33. ___

Find the chance that the average of the draws is between 9.27 and 10.33. ___

Answer #1

here expected value =(3+5+10+14+17)/5=9.8

standard deviation σ= | 5.27000 |

sample size =n= | 100 |

std error=σ_{x̅}=σ/√n= |
0.527 |

**The expected value for the average of the draws is
9.8 give or take 0.527**

2)from normal approximation:

probability =P(X<10.33)=(Z<(10.33-9.8)/0.527)=P(Z<1.01)=0.8438 |

(please try 0.8427 if required from ti-84)

3)

probability
=P(9.27<X<10.33)=P((9.27-9.8)/0.527)<Z<(10.33-9.8)/0.527)=P(-1.01<Z<1.01)=0.8438-0.1562=0.6876 |

(please try 0.6854 if required from ti-84)

Consider a box containing the following numbers.
9, 10, 14, 15, 17
The SD for the box is 3.03.
Suppose 25 draws are made at random with replacement from the
box.
The expected value for this sum is
The standard error for this sum is
The expected value for the average of the draws
is
The standard error for the average of the draws
is

One hundred draws will be made at random with replacement from
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Using the same box of numbers described above, what is the
standard error of a sum of 100 draws from this box?
Using the same box of numbers described above, what is the
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One hundred draws will be made at random with replacement from
the box
[1 6 7 9 9 10]
a) Find the expected value and the standard error for the
percentage of tickets marked by
“9” in 100 draws. Make a box model.
b) What is the chance that the percentage of
tickets marked by “9” is less than 40%
?
Show work using the normal curve.

A box contains tickets labeled with the numbers {4, -2, 0, 3,
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the sum of just the negative numbers on the tickets drawn is
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answer: 10 x 1.959
can someone please show how to get this answer + explain step by
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Class Limits
3-5
6-8
9-11
12-14
15-17
f
9
6
5
12
11
(a) Find the mean. (Give your answer correct to two decimal
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.
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In this part, you will work with probabilities.
1) Consider rolling two four sided dice. One die is blue and the
other is green.
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Part 1
Armadillos are among the most common of Florida’s roadkill
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Inbar and R. T. Mayer, “Spatio-temporal trends in armadillo diurnal
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