Question

based on surveys, 97% of students own cell phones. what is the probability that 10 randomly selected students all own cell phones? round your answer to 4 decimal places. question help: message instructor

Explanation:

Step1: Identify the probability of a single - student owning a cell phone

The probability that a single student owns a cell phone is $p = 0.97$.

Step2: Use the multiplication rule for independent events

Since the events of each student owning a cell phone are independent, the probability that $n = 10$ randomly - selected students all own cell phones is given by $P=(0.97)^{10}$.

Step3: Calculate the result

$(0.97)^{10}=0.7374241268$.

Step4: Round the answer

Rounding to 4 decimal places, we get $0.7374$.

Answer:

$0.7374$