The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 42 and a standard deviation of 5. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 42 and 47? Do not enter the percent symbol. ans = %

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P42, the 42-percentile. This is the temperature reading separating the bottom 42% from the top 58%. P42 = °C

A distance is measured six times. The observed values are 572.182 m, 572.140 m, 572.103 m, 572.160 m, 572.125 m, and 572.155 m. All measurements are uncorrelated and their standard deviations are 0.030 m, 0.030 m, 0.030 m, 0.020 m, 0.020 m, and 0.010 m, respectively. Find the least squares estimate for the distance. Use matrices and R in the solution. Write the R commands involved.

Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.) Approximately nothing​% of vehicles travel between 65 miles per hour and 71 miles per hour.

A farm hatches chicken eggs in batches of 15 and there is a 3% infertile rate. Find the standard deviation for the number of infertile eggs per batch. 0.2 O 0.44 0.45 O 0.66 O 43.7

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P70, the 70-percentile. This is the temperature reading separating the bottom 70% from the top 30%.P70 = °C(Round answer to three decimal places)

People's oxygen saturation  is normally distributed and has a mean measurement of 98.7 and a standard deviation of 1.2. Find the oxygen saturation for P35

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P50, the 50-percentile. This is the temperature reading separating the bottom 50% from the top 50%. Round to 3 decimal places.