Question

A Mexican laboratory developed a new vaccine against COVID-19, which should be stored at an average daily temperature of 8 degrees, with a standard deviation of 3 degrees. If the distribution of daily temperatures is approximately normal. What is the probability that:

A) On a given day the temperature would have been between 6 and 9 degrees

B) The first day a temperature of at most 7.1 degrees is reached is before 6 days

Answer 1

Using Z-score = (X - mean) /standard deviation

Using standard normal distribution table we find probability

A)

P( 6<= X<= 9) = P( -0.67 <=Z <=0.33) = 0.3779

B)

P(X<= 7.1)= P( Z<= -0.3) = 0.3821

Solution file is attached go through it

Thanks