Answer:
Explanation:
Looking at the information given, the population mean and population standard deviation are known. We would apply the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
From the information given,
µ = 70
σ = 10
1) x = 60
The probability that the heart rate if an individual is less than 60 is expressed as
P(x < 60)
z = (60 - 70)/10 = - 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.16
The percentage rates of heart rates less than 60 is 0.16 × 100 = 16%
2) x = 80
The probability that the heart rate if an individual is less than 80 is expressed as
P(x < 80)
z = (80 - 70)/10 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
The percentage rates of heart rates less than 80 is 0.84 × 100 = 84%
3) x = 50
The probability that the heart rate if an individual is greater than 50 is expressed as
P(x > 50) = 1 - P(x ≤ 50)
z = (50 - 70)/10 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.23
P(x > 50) = 1 - 0.23 = 0.77
The percentage rates of heart rates greater than 50 is 0.77 × 100 = 77%