10. Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are defective. If six lightbulbs are selected at random from the shipment, what is the probability that at least one of them is defective? a. 0.70 с. 0.30 0265 0725
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![9. The teachers at a local high school were surveyed. Two of the variables recorded for the 150 teachers were
housing status and length of service. Housing status was recorded as owning or renting your residence, while
length of service was classified as a new teacher with less than 5 years of service or as an experienced
teacher who has at least 5 years of service. The following table summarizes the responses. Based on the
responses, what is the probability that a randomly selected teacher from this school is a renter if we know the
teacher has less than 5 years of teaching experience?
Housing status
Own
Rent
Total
New teacher
Experienced teacher
5
25
30
75
45
120
Total
80
70
150
25/70
b. 25/30
а.
с.
70/150
d. 25/150
10. Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are defective. If
six lightbulbs are selected at random from the shipment, what is the probability that at least one of them is
defective?
0.70
b. 0.265
0.30
d. 0.735
а.
с.
11. A reality television show has 18 participants, 10 males and 8 females. Five of the participants are chosen to
receive a reward. Which of the following expressions gives the probability that all five of the participants
that are chosen are males?
10
8
7
6
4
a.
18
с.
18 17 16 15 14
7 6
(1C,)(,C.)
9.
10
b.
18 17 16 15 14
8
d.
12. A game show uses a spinner that they claim is equally likely to stop in each of five sections, one which is
labeled "JACKPOT". However, in the last twenty spins, the spinner did not stop in the section labeled
"JACKPOT". Which of the following is not a correct step if a player wanted to carry out a simulation to
estimate the probability that the spinner would not stop in the section labeled "JACKPOT" in twenty spins of
the spinner, if we assume that each section of the spinner is equally likely to appear?
Ask the question, "What is the probability that the spinner would not stop in the section
labeled JACKPOT in twenty spins?"
b. Perform two hundred trials to see how many times all twenty of the random numbers
generated represent the simulated spinner not stopping in the section labeled
"JACKPOT".
а.
Assign the digits 1, 2, to represent the spinner stopping in the section labeled
"JACKPOT" and 3, 4, 5, 6, 7, 8, 9, 10 to represent not stopping in the section labeled
"JACKPOT". Generate 20 random numbers and count the number of times the simulated
с.
spinner did not stop in the section labeled "JACKPOT".
d. If the number of times all twenty simulated spins did not stop in the section labeled
"JACKPOT" was extremely small and close to zero, than the claim that each section is
equally likely is probably true.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd190c81-3c2a-4450-8a92-992b86fd8ff0%2Fa0f362a6-59a8-4c9c-8f4e-4ed1c91c616d%2Fljpimw6_processed.jpeg&w=3840&q=75)
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