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A box contains 10 light bulbs of which 3 are defective and 7 are not. An inspector randomly samples 3 bulbs without replacement Let X= the number of defective bulbs selected 

a. Construct the probability distribution of a.

b. What is the probability that at least one defective is selected?

c. What is the probability that the sample will contain at least one good buib?

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Priyanshu Patel
Priyanshu PatelLv10
6 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

9. Identify why this assignment of probabilities can not be legitimate.

 

a. P(A & B) can not be greater than either P(A) or P(B).

b. A and B are not given as mutually exclusive events.

c. P(A|B) is not known.

d. A and B are not given as independent events.

e. none of these.

 

10. Suppose a box contains 3 detective light bulbs and 12 good bulbs. Two bulbs are chosen from the box without replacement. Find the probability that one of the bulbs drawn is good and one is defective.

A. 12/35

B. 6/35

C. 3/14

D. 3/70

E. None of these

Given: 1000 IC chips with 10 being defective

If 2 are selected at random without replacement

Let event A be that the 1st chip slection is defective

Let event B be that the 2nd chip is defective

Determine the probability of event B given that the 1st chip is NOT defective

(a) 0.01001

(b) 0.009009

(c) 0.0001

(d) 0.01000

  1. An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.15 ounces and a standard deviation of 0.15 ounce.
  1. What is the probability that a randomly selected apple will contain less than 1.90 ounces?
  2. What is the probability that a randomly selected apple will contain between 1.90 and 2.40 ounces? 
  3. What is the probability that a randomly selected apple will contain more than 2.40 ounces? 
  4. 77% of the apples will contain at least how many ounces of juice? 

 

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