ER. Write the word or phrase that best completes each statement or answers the 3

Question

ER. Write the word or phrase that best completes each statement or answers the 32) question. 32)nat random, chosen at random, find the mean and variance for the number of voters who support the referendum In a survey, 55% of the voters support a particular referendum. If 40 voters are MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 33) 33) If a normal distribution has a mean of 35 and a standard deviation of 10, then A) the median is 25 and the mode is 45. B) the median is 35 and the mode is 35. C) the median is 45 and the mode is 25. D) the median is 35 and the mode is 45. 34) Find the area under the standard normal distribution curve between 0 and -2.16. 34) -216 A) 0.9846 B) 0.3708 C)-2.1600 D) 0.4846 35) Find the probability Pz>0.78) using the standard normal distribution. 35) A) 0.2177 B) 0.2823 D) 0.7823 36) In a standard normal distribution, what z value corresponds to 17% of the data between 36) the mean and the z value? A) 0.52 B) 0.44 C) 2.10 D) 1.25 37) A normal population has a mean ? = 30 and standard deviation ? = 6. What proportion 37)- - of the population is between 30 and 40? A) 0.9522 B) 0.5478 C) 0.5000 D) 0.4522

Explanation / Answer

(32) mean=np=40*0.55=22

variance=np(1-p)=40*0.55*(1-0.55)=9.9

here n=40 and p=55%=0.55

(33) B.the median is 35 and the mode is 35.

for normal distribution mean=median=mode=35

(34)D.0.4846

P(Z<0)-P(Z<-2.16)=0.5-0.0154=0.4846

(35)A.0.2177

P(Z>0.78)=1-P(Z<0.78)=1-0.7823=0.2177

(36)B.0.44

total area between mean(50%) and 17% will be 67%.

so we find z sucht that P(Z<z)=0.67 and corresponding z=0.44

(37) D.0.4522

for x=30, z=(30-30)/6=0 and x=40, z=(40-30)/6=1.6667

P(30<X<40)=P(0<Z<1.6667)=P(Z<1.6667)-P(Z<0)=0.9522-0.5=0.4522

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