Question

Example: It is known that 20% of all tablet computers will need the touch-screen repaired within the first two years of use. Suppose we select15 tablet computers at random.

What is the probability that no more than 6 tablets will need repairs to the touch-screen within the first two years of use?

Example: What is the probability that exactly 5 tablets will need touch- screen repairs?

Example: What is the probability that at least 2 tablets will need touch- screen repairs?

Answer #1

Example - 1: Probability that no more than 6 tablets will need repairs to the touch-screen within the first two years of use

= P(X < 6)

= binomcdf(15, 0.20, 6) [Ti clculator command]

= **0.9819** [Rounded off to 4 decimal places]

Example - 2: Probability that exactly 5 tablets will need touch- screen repairs

= P(X = 5)

= binompdf(15, 0.20, 5) [Ti calculator command]

= **0.1032** [Rounded off to 4 decimal places]

Example - 3: Probability that at least 2 tablets will need touch- screen repairs

= P(X > 2)

= 1 - P(X < 1)

= 1 - binomcdf(15, 0.20, 1) [Ti calculator command]

= **0.8329** [Rounded off to 4 decimal places]

an electronics company finishes a production run of 5000 tablet
computers, which includes 900 defective units. To test this batch
for defects, a random sample of 100 tablets is drawn (without
replacement) and tested. Let X be the random variable that counts
the number of defective units among the sample.
a. find the expected (mean) value, variance, and standard
deviation of X
b. the probability distribution of X can be approximated with a
binomial distribution. Why?
c. Use the binomial...

A consumer organization estimates that over a 1-year period 17%
of cars will need to be repaired only once, 7% will need repairs
exactly twice, and 4% will require three or more repairs.
If you own two cars, what is the probability that:
a) neither will need repair?
b) both will need repair?
c) at least one car will need repair?

Two computer users were discussing tablet computers. A higher
proportion of people ages 16 to 29 use tablets than the proportion
of people age 30 and older. The table below details the number of
tablet owners for each age group. Test at the 1% level of
significance. (For subscripts let 1 = 16-29 year old users, and 2 =
30 years old and older users.)
16–29 year
olds
30 years old and
older
Own a
Tablet
69
231
Sample
Size...

It has been estimated that 23% of all university students switch
majors within their first two years of starting classes. If a
random sample of 470 third-year students is taken at a city
university, what is an estimate of the probability that 20% or less
had switched majors within their first two years? Use Appendix B.1
for the z-values. (Round the z-value to 2
decimal places and the final answer to 4 decimal
places.)
Probability

Suppose that 40% of all home buyers will do some remodeling to
their home within the first five years of home ownership. Assuming
this is true, use the binomial distribution to determine the
probability that in a random sample of 20 homeowners, 4 or fewer
will remodel their homes. Use the binomial table.
1.) The probability that 4 or fewer people in the same indicate
that they will remodel their homes is ____.
Thank you!!!!

It has been estimated that 21% of all university students switch
majors within their first two years of starting classes. If a
random sample of 400 third-year students is taken at a city
university, what is an estimate of the probability that 17% or less
had switched majors within their first two years? Use Appendix B.1
for the z-values. (Round the z-value to 2 decimal places and the
final answer to 4 decimal places.) Probability

It has been estimated that 26% of all university students switch
majors within their first two years of starting classes. If a
random sample of 560 third-year students is taken at a city
university, what is an estimate of the probability that 23% or less
had switched majors within their first two years? Use Appendix B.1
for the z-values. (Round the z-value to 2
decimal places and the final answer to 4 decimal
places.)
Probability

It has been estimated that 17% of all university students switch
majors within their first two years of starting classes. If a
random sample of 430 third-year students is taken at a city
university, what is an estimate of the probability that 15% or less
had switched majors within their first two years? Use Appendix B.1
for the z-values. (Round the z-value to 2
decimal places and the final answer to 4 decimal
places.)
Probability:

You may need to use the appropriate appendix table or technology
to answer this question.
A center for medical services reported that there were 295,000
appeals for hospitalization and other services. For this group, 40%
of first-round appeals were successful. Suppose 10 first-round
appeals have just been received by a Medicare appeals office.
(Round your answers to four decimal places.)
(a)
Compute the probability that none of the appeals will be
successful.
(b)
Compute the probability that exactly one of...

You may need to use the appropriate appendix table or technology
to answer this question. A center for medical services reported
that there were 295,000 appeals for hospitalization and other
services. For this group, 55% of first-round appeals were
successful. Suppose 10 first-round appeals have just been received
by a Medicare appeals office. (Round your answers to four decimal
places.) (a) Compute the probability that none of the appeals will
be successful. (b) Compute the probability that exactly one of...

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