Questions from Applied Statistics

Q: Suppose that P(A | B) = 0.2

Suppose that P(A | B) = 0.2, P(A | B′) = 0.3, and P(B) = 0.8. What is P(A)?

Q: The probability is 1% that an electrical connector that is kept

The probability is 1% that an electrical connector that is kept dry fails during the warranty period. If the connector is ever wet, the probability of a failure during the warranty period is 5%. If 90...

Q: Heart failures are due to either natural occurrences (87%) or

Heart failures are due to either natural occurrences (87%) or outside factors (13%). Outside factors are related to induced substances (73%) or foreign objects (27%). Natural occurrences are caused by...

Q: The edge roughness of slit paper products increases as knife blades wear

The edge roughness of slit paper products increases as knife blades wear. Only 1% of products slit with new blades have rough edges, 3% of products slit with blades of average sharpness exhibit roughn...

Q: A lot of 100 semiconductor chips contains 20 that are defective.

A lot of 100 semiconductor chips contains 20 that are defective. a. Two are selected, at random, without replacement, from the lot. Determine the probability that the second chip selected is defective...

Q: The following circuit operates if and only if there is a path

The following circuit operates if and only if there is a path of functional devices from left to right. Assume devices fail independently and that the probability of failure of each device is as shown...

Q: Computer keyboard failures are due to faulty electrical connects (12%)

Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are related to loose keys (27%) or improper assembly (73%). Electrical connect de...

Q: An article in the British Medical Journal [“Comparison of Treatment of

An article in the British Medical Journal [“Comparison of Treatment of Renal Calculi by Operative Surgery, Percutaneous Nephrolithotomy, and Extracorporeal Shock Wave Lithotripsy” (1986, Vol. 82, pp....

Q: Consider the hospital emergency room data in Example 2.6.

Consider the hospital emergency room data in Example 2.6. Let A denote the event that a visit is to hospital 4 and let B denote the event that a visit results in LWBS (at any hospital). Data from Exa...

Q: Suppose that a patient is selected randomly from those described in Exercise

Suppose that a patient is selected randomly from those described in Exercise 2.4.11. Let A denote the event that the patient is in group 1, and let B denote the event for which there is no progression...