Stat Homework Help

1. The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Tasman Sea are listed in table below (See text page 93 for references)

River	Length (km)	River	Length (km)
Hollyford	76	Waimea	48
Cascade	64	Motueka	108
Arawhata	68	Takaka	72
Haast	64	Aorere	72
Karangarua	37	Heaphy	35
Cool	32	Karamea	80
Waiho	32	Mokihinui	56
Whataroa	51	Buller	177
Wanganui	56	Grey	121
Waitaha	40	Taramakau	80
Hokitika	64	Arahura	56

· Find the mean, median, range, variance and standard deviation. 4pts. each

2. An experiment is rolling two fair dice

a. State the sample space. 1pt.

b. Find the probability of getting a sum of 3. Make sure you state the event space. 2pts.

c. Find the probability of getting the first die is a 4. Make sure you state the event space. 2pts.

d. Find the probability of getting a sum of 8. Make sure you state the event space. 3pts.

e. Find the probability of getting a sum of 3 or sum of 8. 3pts

f. Find the probability of getting a sum of 3 or the first die is a 4. 3pts.

g. Find the probability of getting a sum of 8 or the first die is a 4. 3pts.

h. Find the probability of not getting a sum of 8. 3pts.

See pages 123-125 for guidance

3. The California license plate has one number followed by three letters followed by three numbers. How many different license plates are there?

4. The Ohio Lottery has a game called Pick 4 where a player pays $1 and picks a four-digit number. If the four numbers come up in the order you picked, then you win $2500. What is your expected value?

5. The proportion of brown M&M’s in a milk chocolate packet is approximately 14% (See text, pg 172, Madison, 2013). Suppose a package of M&M”s typically contains 52 M&M’s

a. State the random variable

b. Find the mean

c. Find the variance

d. Find the standard deviation

See pages 169-171 for guidance