An industry representative claims that 44 percent of al satelHe dish owners subs
ID: 3047366 • Letter: A
Question
An industry representative claims that 44 percent of al satelHe dish owners subscribe to at least one premum move channel In an attempt to justify this claim, the representative will pol a randomly selecled sample of dish owners a) Suppose that the representatve's clam is true, and suppose that a sample of 4 dish owners is randomly independence, use an appropriste formuls to compute. (Do not round your intermediate calculation and round your answers to 4 decimal places.) 1. The probabity that none of the dsh owners in the sample subscrbes to at least one premum movie channel. Probabilky 2 The probablity that more than two dah owners in the aampic subacrbe t movic channel Probabilry selected. Assuming to at least one premum b) Suppose that the representative's claim is true, and suppose that sample of 20 disi owners 1. Nine or fewer dish owners n the sample sub cribe to t least one prem um movie channel? Probabiliny 2 More than 11 dish ownera in the ample subscribe to at least one premium movie channel? Probablirty 3. Fewer than frve dish ownere in the ssmple subscribe to s east one premium movie channel Probabiliy randomy selected Assumn ndependence, what s the p obabity tat Do not round your intermediate calculation and round your answers to 4 decimal places. c) Suppoac that, when we survey z0 randomy acieched dish owners, we find that 4 of the dish owners actunly subscribe to at enst one premum movic channel Uaing a probabiry you found in thia cxerchc as the baais for your anawer, do you beleve the nduatry ropresentative's cam Explan uaing a probabity you toun ; t the clam is true, then the probabityot tewer than sis very-Explanation / Answer
Here, we would be using binomial distribution and the formula would be as follows: -
a)
n!/x!(n-x)!*p^x*q^n-x
1)
p=0.44, n=4, x=0
0.09834496 is the answer
2)
p=0.44, n=4, x=3,4
0.228
b)
1)
p=0.44, n=20, x=9 or less
0.6264 is the answer
2)
p=0.44, n=20, x=more than 11
0.1123 is the answer
3)
p=0.44, n=20, x=less than 5
0.0233 is the answer
c)
Yes, weak