Answer:
B -3.
Step-by-step explanation:
The slope = (y2-y1)/(x2-x1)
= (-2-4)/(8-6)
= -6/2
= -3.
Answer:
18 hours
Step-by-step explanation:
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Answer:
Probability both are nervous around strangers = 0.0049
Probability at least one is nervous around strangers = 0.1302
Step-by-step explanation:
Let probability a person selected in the population is nervous around strangers = P
P = 7%
P = 
P = 0.07
Let probability a person selected in the population is not nervous around strangers = P'
P' = 1 - P
P' = 1 - 0.07
P' = 0.93
(i) probability of the first person selected is nervous around strangers = P
probability of the second person selected is nervous around strangers = P
Probability both are nervous around strangers = (P × P)
= 0.07 × 0.07
= 0.0049
(ii) Probability at least one is nervous around strangers = ( probability the first person is nervous around strangers AND the second person is not nervous around strangers ) OR ( probability the second person is nervous around strangers AND the first person is not nervous around strangers)
This implies,
Probability at least one is nervous around strangers = (P × P') or (P × P')
= (0.07 × 0.93) + (0.07 × 0.93)
= 0.0651 + 0.0651
= 0.1302
Using the given discrete probability distribution, it is found that the probability that a randomly selected student has a grade higher than a C is given by:
P(X > 2).
<h3>What is the discrete probability distribution for the grade?</h3>
From the table, it is given by:
- P(X = F) = P(X = 0) = 0.04.
- P(X = D) = P(X = 1) = 0.05.
- P(X = C) = P(X = 2) = 0.17.
- P(X = B) = P(X = 3) = 0.31.
- P(X = A) = P(X = 4) = 0.43.
Grades A and B are greater than C, hence the probability of getting a grade higher than C is given by:
P(X > C) = P(X = A) + P(X = B) = P(X = 3) + P(X = 4) = P(X > 2).
More can be learned about discrete probability distributions at brainly.com/question/24855677