contestada

Can anyone actually help and not just bs me, plsss and thank you!

Q1) A traffic study has shown that the probability that 5 cars will pass over a small bridge in a 4-minute period is 0.16.
What are the odds against exactly 5 cars passing over the bridge in that time?
A) 4:21
B) 21:4

Q2) The odds that a bag of flour weighs enough to pass inspection are 20:1.
What is the probability that a bag of flour passes inspection?

Enter your answer as a decimal rounded to the nearest thousandth, like this: 0.423


Q3) The probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%.
What are the odds that a carton of eggs will have at least one cracked egg?
A) 39:1
B) 1:40
C) 1:39
D) 40:1

Q4) Arjun is hiking from a mountain lodge to a nearby summit. The probability that he will take the longest trail is 59. The odds against Arjun taking the longest trail are _[blank]_.

What odds best complete the sentence?
Enter your answer as a ratio, integers possible, like this: 3:2

Q5)
Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.
What are the odds in favor of Adam seeing a meteor in the next 10 minutes?
A) 14:25
B) 25:14
C) 11:14
D) 14:11

Respuesta :

Using conversions between odds and probabilities, we have that:

1. A) 4:21

2. 0.952 probability that a bag of flour passes inspection.

3. C) 1:39

4. 41:59.

5. 14:11

  • A probability is the number of desired outcomes divided by the number of total outcomes.
  • An odd is given by a:b, in which a is the number of successes and b is the number of failures.

Item 1:

  • Probability of 0.16, thus, for 100 trials, 16 successes and 84 failures, and the odd is:

16:84, which, simplifying by 4, is 4:21.

Item 2:

  • Odd of 20:1 means that 20 + 1 = 21 trials, there are 20 successes, thus, the probability is:

[tex]p = \frac{20}{21} = 0.952[/tex]

0.952 probability that a bag of flour passes inspection.

Item 3:

  • Probability of 0.025, thus, for 100 trials, 2.5 successes and 97.5 failures, and the odd is:

2.5:97.5, which, simplifying by 2.5, is 1:39.

Item 4:

  • 59% probability that he will take the longest trail, thus 100 - 59 = 41% probability of him not tanking the longest trail, thus, the odds against him taking the longest trail is 41:59.

Item 5:

  • Probability of 0.56, thus, for 100 trials, 56 successes and 44 failures, and the odd is:

56:44, which, simplifying by 4, is 14:11.

A similar problem is given at https://brainly.com/question/21094006

Otras preguntas