Sunny earns $22.75 per week delivering newspapers. he worked as a delivery boy for 3 weeks. he also earned $32.75 last month doing chores around the house. he spent $14.25 of his total earnings to download music on his mobile device. sunny put 1 over 5 of the remaining money in his savings account. sunny used the following steps to find the total money he put in his savings account:

step 1: [($22.75 + 3) + $32.75 − $14.25] ⋅ 1 over 5

step 2: [$44.25] ⋅ 1 over 5

step 3: $11.0625

in which step did sunny first make an error? use words to explain how sunny can correct his error.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Q= {1.7, 1.1, 1.4, 2.1, 2.3, s}. what is the absolute difference between the greatest and least possible values of the median of set q? express your answer as a decimal to the nearest hundredth.

Give another definition of variability and explain how it can be calculated.