- Find the mean price for the 500 Magic Circus of Samoa tickets using the table seen
below.
Ticket Price x Number of tickets f P(x) xP(x) Games 1.00 100 __________ __________ Rides 2.00 75 __________ __________ General Admission: Child 5.00 40 __________ __________ General Admission: Adult 8.00 60 __________ __________ Ring Side: Child 8.00 85 __________ __________ Ring Side: Adult 10.00 115 __________ __________ Headless woman from Thailand 1.00 25 __________ __________ __________ __________ __________ - The diagram below depicts three normal curves

- _______ Which curve has the largest mean?
- _______ Which curve has the largest standard deviation?
- _______ What is the mean for curve A?
- _______ What is the mean for curve B?
- _______ What is the mean for curve C?
- _______ What is the standard deviation for curve C?

- Mika throws knives at his wife Hana for a living. He aims for a location six inches away
from Mika's body. Uncertainties in the exact spin of the knife and release position of his
arm result in his throws landing distances away from the spot at which he aims that are
normally distributed.

Let the spot Mika aims at be considered the mean value µ = 0. The standard deviation s = 2. What is the probability that Mika's knife will land six inches away from his aiming point?

Hints: The x value is 6. Calculate your z value and then use the z value to calculate the probability p. Remember to show your work: partial credit may be given.

Note: Bear in mind that the probability you calculate is not the probability he will nick his wife with a knife: the probability is the probability the knife will land six inches from where he aims. That is a circular zone, only a small part of which endangers his wife. And... the numbers in this example are fictitious. Bonus point: Mika and Hana have a child who helps with the circus and who is making her second appearance with the circus on Pohnpei. What is the name of the child?

Calculate a z value from an x | z | ^{= } |
=STANDARDIZE(x, m, s) |

Calculate an x value from a z | x | = s z + m | = s*z+m |

Find a probability p from a z value | =NORMSDIST(z) | ||

Find a z value from a probability p | =NORMSINV(p) |