Answer Happy

Most computer languages include a function that can be used to generate random numbers. In Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let z denote a random number generated using RAND, then z is a continuous random variable with the following probability density function. a. Select the probability density function. 1. fox) 1.54 14 0.5 f(x) 1.54 1 0.5 ={ f(x)= for 0 ≤251 10 elsewhere
b. What is the probability of generating a random number between 0.15 and 0.85 (to 1 decimal place)? c. What is the probability of generating a random number with a value less than or equal to 0.4 (to 1 decimal place)? I d. What is the probability of generating a random number with a value greater than 0.6 (to 1 decimal place)? e. Using 50 random numbers given below, compute the mean and standard deviation. Mean Standard deviation= 0.132165 0.105643 0.755659 0.862334 0.010800 0.555189 0.340675 0.199239 0.132550 0.513240 (to 6 decimals) (to 6 decimals) 0.446556 0.763061 0.561990 0.341134 0.187792 0.255364 0.356939 0.920655 0.625072 0.455998 0.989302 0.109144 0.309774 0.877724 0.018871 0.200777 0.782536 0.957100 0.849895 0.781734 0.966965 0.950108 0.964410 0.621947 0.159072 0.502088 0.869616 0.670542 0.077265 0.620351 0.056935 0.273366 0.130351 0.306645 0.781078 0.247951 0.522593 0.836196 0.385852 0.521921