Any normally distributed values can be standardized with z-scores. True False..A

Question

Any normally distributed values can be standardized with z-scores. True False..According to the MIT Airline Data Project, American Airlines controlled 15.5 % of the domestic market in 2010. A random sample of 125 domestic passengers that year was selected. Using the normal approximation to the binomial distribution, what is the probability that 20, 21, 23, 24, or 25 passengers from this sample were on American Airline flights? 0.2534 0.4225 0.5319 0.6810 A survey conducted in 2011 asked employed adults from age 25 to 70 if they plan to keep a foot in the working world after retirement. Thirty-three percent of the respondents answered "very likely". A random sample of 75 adults from this age group was asked the same question. Using the normal approximation to the binomial distribution, what is the probability that 21 or fewer adults from this sample would very likely plan to keep a foot in the working world after retirement? 0.1075 0.2119 0.3192 0.4721 Johns commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5 1minutes. What is the probability the compute time for a randomly selected day will be more than 30 minutes? 0.0401 0.0885 0.1977 02578

Explanation / Answer

3) here mean =np=0.155*125=19.375

and std deviation =(np(1-p))1/2=4.046

hence P(20<=X<=25) =P((20-19.375)/4.046<Z<(25.5-19.375)/4.046)=P(0.0309<Z<1.5138)=0.935-0.5123=0.4225

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