Question

A lecture hall at a university has 220 seats with fold-down writing pedestals, 30 of which are designed for left-handers. An Intro. to Economics class with 213 students meets in this lecture hall. Assume that 13% of the general population is left-handed.

**Question 1.** What is the probability that at
least one right-handed student in this class is forced to use a
seat designed for a left-hander?

(Use 4 decimal places.)

**Question 2.** What is the probability that at
least one left-handed student in this class is forced to use a seat
designed for a right-hander?

(Use 3 decimal places.)

Answer #1

n= | 213 | p= | 0.1300 |

here mean of distribution=μ=np= | 27.69 | ||

and standard deviation σ=sqrt(np(1-p))= | 4.9082 |

for normal distribution z score =(X-μ)/σx | ||||

therefore from normal approximation of binomial distribution and continuity correction: |

1)

probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander=P(X<=22)=P(Z<(22.5-27.69)/4.9082)=P(Z<-1.06)=0.1446

( please try 0.1230 if this comes wrong)

2) probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander =P(X>30)=P(Z>(30.5-27.69)/4.9082)=P(Z>0.57)=0.2843

( please try 0.2514 if this comes wrong)

A lecture hall has
200200
seats with folding arm tablets,
1818
of which are designed for left-handers. The typical size of
classes that meet there is
188188,
and we can assume that about
1212%
of students are left-handed. Use a Normal approximation to find
the probability that a right-handed student in one of these
classes is forced to use a lefty arm tablet.
The probability is
nothing.
(Type an integer or decimal rounded to four decimal places as
needed.)

A lecture hall has 210210 seats with folding arm tablets, 2929
of which are designed for left-handers. The average size of
classes that meet there is 192192, and we can assume that about
1313% of students are left-handed. What's the probability that a
right-handed student in one of these classes is forced to use a
lefty arm tablet?

MALE :Student # Gender Height Shoe Age Hand
1 M 67 10 19 R
2 M 74 12 17 R
3 M 72 11.5 19 R
4 M 69 10 35 R
5 M 66 9 18 R
6 M 71 10.5 17 R
7 M 72 10.5 17 R
8 M 66 10 20 R
9 M 67 10 18 R
10 M 71 10.5 24 R
11 M 66 10 21 R
12 M 71 10.5 18 R...

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