A) continuous 5) Find the probability that in 200 tosses of a fair six-sided die

Question

A) continuous 5) Find the probability that in 200 tosses of a fair six-sided die, a five will be obtained at least 40 times. ) A) 0.3875 B) 0.1210 C) 0.0871 D) 0.8810 6) At a raffle, 10,000 tickets are sold at $5 each for three prizes valued at $4,800, $1,200, and $400. 6) What is the expected value of one ticket? A) $4.36 B) $0.64 C)-$0.64 D) -$4.36 7) A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of 10 adults over 50, what is the probability that at least six wear glasses? A) 0.200 B) 0.700 C) 0.006 D) 0.850 8) The probability that an individual is left-handed is 0.17. In a class of 72 students, what is the 8) probability of finding five left-handers? A) 0.17 B) 0.000 C) 0.008 D) 0.069 9) Assume that male and female births are equally likely and that the birth of any child does not affect 9) the probability of the gender of any other children. Find the probability of exactly six boys in ten births. A) 0.6 B) 0.205 C) 0.06 D) 3.281 10) Construct a 90% confidence interval for the population mean, . Assume the population has a 10) normal distribution. In a recent study of 22 eighth graders, the mean number of hours per weelk that they watched television was 19.6 with a standard deviation of 5.8 hours. A) (5.87,7.98) B) (19.62, 23.12) C) (18.63, 20.89) D) (17.47, 21.73) 17 11) Find the critical value, te for c 0.99 and n 10. A) 3.169 B) 1.833 C) 2.262 D) 3.250

Explanation / Answer

Answer to the questions till 8)

5) P(X>=40) = ?
p of getting a 5 = 1/6
So, P(X>=40) = (200C40)*(1/6)^40 (5/6)^160 +......+(200C200)*(1/6)^200 (5/6)^0
=0.1210

6) For the 10000 tickets there is some winning amount and cost to the tickets
= $4800+$1200+$400 - 5*10000 = -43,600 for 10000 tickets.
Hence, for each tickets the winning amount if -$4.36

D is right

7) P(X>=6) = P(X=6,7,8,9,10) = 10C6*.7^6*.3^4 +..+10C10*.7^10*.3^0 = 0.850
D is right

8) P(X=5 are left handed) = 72C5 (.17)^5 (.83)^67 = .00752 or .008 , C is right

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