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lesantik [10]
2 years ago
8

A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. Four marbles from this jar are selected, with each marble b

eing replaced after each selection. What is the probability that the first red marble chosen is on the 5th selection?
0.0128
0.0563
0.1484
0.2815
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0
Answer: Option 2: 0.0563
Total Marbles: 29
Option:
(B/W) • (B/W) • (B/W) • (B/W) • (R)
18/29 • 18/29 • 18/29 • 18/29 • 11/29
= Exact Form: 1154736/20511149
= Decimal Form: 0.05629796
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3 years ago
The monthly worldwide average number of airplane crashes of commercial airlines is 3.5. What is the probabil- ity that there wil
Levart [38]

Answer:

Step-by-step explanation:

We would apply the formula for poisson distribution which is expressed as

P(x = r) = (e^- µ × µ^r)/r!

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From the information given,

µ = 3.5

a)

For the probability that there will be at least 2 such accidents in the next month, it is expressed as

P(x ≥ 2) = 1 - P(x < 2)

P(x < 2) = P(x = 0) + P(x = 1)

Therefore,

P(x = 0) = (e^- 3.5 × 3.5^0)/0!

P(x = 0) = (e^- 3.5 × 1)/1

P(x = 0) = 0.03

P(x = 1) = (e^- 3.5 × 3.5^1)/1!

P(x = 1) = (e^- 3.5 × 3.5)/1

P(x = 1) = 0.11

P(x < 2) = P(x = 0) + P(x = 1) = 0.03 + 0.11 = 0.14

P(x ≥ 2) = 1 - 0.14 = 0.86

b)

For the probability that there will be at most 1 accident in the next month, it is expressed as

P(x ≤ 1) = P(x = 0) + P(x = 1)

P(x = 0) = 0.03

P(x = 1) = 0.11

P(x ≤ 1) = 0.03 + 0.11 = 0.14

3 0
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Answer:

c

Step-by-step explanation:

-7.5 is less than 6.5

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