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the counselor picked a random sample of 160 senior scores and recorded …

Question

the counselor picked a random sample of 160 senior scores and recorded the information in the table below. use this data to answer questions 1 - 5. students that scored less than 20.8 students that scored 20.8 and higher. 104 56 2. estimate the probability of a senior in the random sample scoring less than 20.8 on the act? method. explain your

Explanation:

Step1: Calculate the total number of students

The total number of students is \(104 + 56=160\)

Step2: Calculate the number of students scoring less than \(20.8\)

The number of students scoring less than \(20.8\) is \(104\)

Step3: Calculate the probability

The probability \(P=\frac{\text{Number of students scoring less than }20.8}{\text{Total number of students}}=\frac{104}{160}=\frac{13}{20} = 0.65\)

Answer:

The estimated probability that a senior in the random sample scores less than \(20.8\) on the ACT is \(0.65\)