7. a random number generator is used to generate one integer between 70 and 85. let j be the event of…

7. a random number generator is used to generate one integer between 70 and 85. let j be the event of generating a multiple of 5, and let k be the event of generating a multiple of 20. what are the possible outcomes of each event?\na. j = { }\nb. k = { }\nc. j ∪ k = { }

7. a random number generator is used to generate one integer between 70 and 85. let j be the event of generating a multiple of 5, and let k be the event of generating a multiple of 20. what are the possible outcomes of each event?\na. j = { }\nb. k = { }\nc. j ∪ k = { }

Answer

Explanation:

Step1: Find multiples of 5 between 70 and 85

We list numbers divisible by 5 in the range. $J={70,75,80,85}$

Step2: Find multiples of 20 between 70 and 85

We check which numbers in the range are divisible by 20. $K = {80}$

Step3: Find the union of J and K

The union contains all unique elements from both sets. $J\cup K={70,75,80,85}$

Answer:

a. ${70,75,80,85}$ b. ${80}$ c. ${70,75,80,85}$