A certain type of digital camera comes in either a 3-megapixel version or a 4-me

Question

A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 18 of these cameras, of which 6 have 3-megapixel resolution. Suppose that 5 of these cameras are randomly selected to be stored behind the counter: the other 13 are placed in a storeroom. Let X = the number of 3-megapixel cameras among the 5 selected for behind the counter storage. Compute P(X = 2). Compute P(X greater then 2). Calculate the mean of X. Calculate the standard deviation of X.

Explanation / Answer

The probability that a camera is megapixel is: 6/18=0.33

Using Binomial distribution find:

(a)The required probability is:

P(X=2)

=5C2*0.33^2*0.67^3

=0.327

(b)The required probability is:

P(X>2)

=5C3*0.33^3*0.67^2+…+5C5*0.33^5*0.67^0

=0.204

c)The mean is np=18*0.33=5.94

The standard deviation is sq rt np(1-p)=1.99

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.