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melisa1 [442]
3 years ago
10

Researchers wanted to see which species of lizard (A, B, or C) is most likely to survive a bacterial infection. So they infected

a total of 38 lizards and recorded how many survived after 48 hours. Of the 15 species B lizards, 40% survived. For those that were species C, one more survived than died. And of the 24 lizards that died, one-third of them were species A.
a. Create a contingency table to display this data.

b. What proportion of these lizards in this study were either species A or B?

c. What is the probability that a species C lizard in this study did not survive?
Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Answer:

A) attached below

B) 0.61

C) 0.47

Step-by-step explanation:

Given data:

Total number of lizards infected = 38

Of the 15 species B lizards 40% survived

For specie C one more survived than died

Out of the 24 lizards that died 1/3 were species A

<u>A) contingency table </u>

attached below

<u>B) Determine the proportion of these lizards in this study that were either specie A or Specie B </u>

P ( A or B ) = ( 8 + 15 ) / 38 = 0.605 ≈ 0.61

<u>C) determine the probability that specie C lizard did not study </u>

P ( not surviving  | C ) = 7 / 15 = 0.466 ≈ 0.47

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Answer:

<u>1. P(N) =  3/5</u>

<u>2. P(R) =  2/5</u>

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Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of students in a high school senior class = 500

Number of students that regularly wear a necklace = 300

Number of students that regularly wear a ring = 200

Number of students that wear a necklace and a ring = 125

2. What is P(N), the probability that a senior wears a necklace?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)

<u>P(N) =  3/5</u>

3. What is P(R), the probability that a senior wears a ring?

Substituting with the real given values:

P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)

<u>P(R) =  2/5</u>

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Substituting with the real given values:

P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)

<u>P(N and R) = 1/4</u>

5. What is P(N or R), the probability that a senior wears a necklace or a ring?

P(N or R) = P(N) + P(R) - P(N and R)

Substituting with the real given values:

P(N or R) = 3/5 + 2/5 - 1/4

P(N or R) = 5/5 - 1/4

P(N or R) = 1 - 1/4

<u>P(N or R) = 3/4</u>

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Step-by-step explanation:

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