{"id":23744,"date":"2022-01-09T14:43:44","date_gmt":"2022-01-09T14:43:44","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/stat-200-week-3-homework-solutions\/"},"modified":"2022-01-09T14:43:44","modified_gmt":"2022-01-09T14:43:44","slug":"stat-200-week-3-homework-solutions","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/stat-200-week-3-homework-solutions\/","title":{"rendered":"Stat 200 week 3 homework solutions"},"content":{"rendered":"
\n

STAT 200 Week 3 Homework Problems<\/strong><\/p>\n

4.1.4<\/strong><\/p>\n

A project conducted by the Australian Federal Office of Road Safety asked people many questions about their cars. One question was the reason that a person chooses a given car, and that data is in table #4.1.4 (“Car preferences,” 2013).\u00a0<\/p>\n

Table #4.1.4: Reason for Choosing a Car<\/strong><\/p>\n

\u00a0\u00a0<\/p>\n

Safety<\/p>\n

Reliability<\/p>\n

Cost<\/p>\n

Performance<\/p>\n

Comfort<\/p>\n

Looks<\/p>\n

\u00a0<\/p>\n

84<\/p>\n

62<\/p>\n

46<\/p>\n

34<\/p>\n

47<\/p>\n

27<\/p>\n

Find the probability a person chooses a car for each of the given reasons.<\/p>\n

4.2.2<\/strong><\/p>\n

Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a time period. Table #4.2.2 gives the defect and the number of defects.<\/p>\n

Table #4.2.2: Number of Defective Lenses<\/strong><\/p>\n

\u00a0\u00a0<\/p>\n

Defect type<\/p>\n

Number of defects<\/p>\n

\u00a0<\/p>\n

Scratch<\/p>\n

5865<\/p>\n

\u00a0<\/p>\n

Right shaped \u2013 \u00a0\u00a0small<\/p>\n

4613<\/p>\n

\u00a0<\/p>\n

Flaked<\/p>\n

1992<\/p>\n

\u00a0<\/p>\n

Wrong axis<\/p>\n

1838<\/p>\n

\u00a0<\/p>\n

Chamfer wrong<\/p>\n

1596<\/p>\n

\u00a0<\/p>\n

Crazing, cracks<\/p>\n

1546<\/p>\n

\u00a0<\/p>\n

Wrong shape<\/p>\n

1485<\/p>\n

\u00a0<\/p>\n

Wrong PD<\/p>\n

1398<\/p>\n

\u00a0<\/p>\n

Spots and bubbles<\/p>\n

1371<\/p>\n

\u00a0<\/p>\n

Wrong height<\/p>\n

1130<\/p>\n

\u00a0<\/p>\n

Right shape \u2013 big<\/p>\n

1105<\/p>\n

\u00a0<\/p>\n

Lost in lab<\/p>\n

976<\/p>\n

\u00a0<\/p>\n

Spots\/bubble \u2013 \u00a0\u00a0intern<\/p>\n

976<\/p>\n

a.) Find the probability of picking a lens that is scratched or flaked.<\/p>\n

b.) Find the probability of picking a lens that is the wrong PD or was lost in lab.<\/p>\n

c.) Find the probability of picking a lens that is not scratched.<\/p>\n

d.) Find the probability of picking a lens that is not the wrong shape.<\/p>\n

4.2.8<\/strong><\/p>\n

In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00.<\/p>\n

a.) Find the probability of winning if you pick the number 7 and it comes up on the wheel.<\/p>\n

b.) Find the odds against winning if you pick the number 7.<\/p>\n

c.) The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet?<\/p>\n

4.4.6<\/strong> Find 10P6<\/p>\n

4.4.12<\/strong> How many ways can you choose seven people from a group of twenty?<\/p>\n

5.1.2<\/strong><\/p>\n

Suppose you have an experiment where you flip a coin three times. You then count the number of heads.<\/p>\n

a.) State the random variable.<\/p>\n

b.) Write the probability distribution for the number of heads.<\/p>\n

c.) Draw a histogram for the number of heads.<\/p>\n

d.) Find the mean number of heads.<\/p>\n

e.) Find the variance for the number of heads.<\/p>\n

f.) Find the standard deviation for the number of heads.<\/p>\n

g.) Find the probability of having two or more number of heads.<\/p>\n

h.) Is it unusual to flip two heads?<\/p>\n

5.1.4<\/strong><\/p>\n

An LG Dishwasher, which costs $800, has a 20% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warranty costs $112.10 on a dishwasher. What is the expected value of the extended warranty assuming it is replaced in the first 2 years?<\/p>\n

5.2.4<\/strong><\/p>\n

Suppose a random variable, x<\/em>, arises from a binomial experiment. If n<\/em> = 6, and p<\/em> = 0.30, find the following probabilities using technology.<\/p>\n

a.) P(x=1)<\/p>\n

b.) P(x=5)<\/p>\n

c.) P(x=3)<\/p>\n

d.) P(x<=3)<\/p>\n

e.) P(x>=5)<\/p>\n

f.) P(x<=4)<\/p>\n

5.2.10<\/strong><\/p>\n

The proportion of brown M&M\u2019s in a milk chocolate packet is approximately 14% (Madison, 2013). Suppose a package of M&M\u2019s typically contains 52 M&M\u2019s.<\/p>\n

a.) State the random variable.<\/p>\n

b.) Argue that this is a binomial experiment<\/p>\n

Find the probability that\u00a0<\/p>\n

c.) Six M&M\u2019s are brown.<\/p>\n

d.) Twenty-five M&M\u2019s are brown.<\/p>\n

e.) All of the M&M\u2019s are brown.<\/p>\n

f.) Would it be unusual for a package to have only brown M&M\u2019s? If this were to happen, what would you think is the reason?<\/p>\n

5.3.4<\/strong><\/p>\n

Approximately 10% of all people are left-handed. Consider a grouping of fifteen people.<\/p>\n

a.) State the random variable.<\/p>\n

b.) Write the probability distribution.<\/p>\n

c.) Draw a histogram.<\/p>\n

d.) Describe the shape of the histogram.<\/p>\n

e.) Find the mean.<\/p>\n

f.) Find the variance.<\/p>\n

g.) Find the standard deviation.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

STAT 200 Week 3 Homework Problems 4.1.4 A project conducted by the Australian Federal Office of Road Safety asked people many questions about their cars. One question was the reason that a person chooses a given car, and that data is in table #4.1.4 (“Car preferences,” 2013).\u00a0 Table #4.1.4: Reason for Choosing a Car \u00a0\u00a0 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-23744","post","type-post","status-publish","format-standard","hentry","category-education"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/23744","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/comments?post=23744"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/23744\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=23744"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=23744"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=23744"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}