The chocolate factory "charlie’s own" produces limited-time boxes with exactly 9 chocolates. the research department of the factory models the weight of a chocolate by the random variable x, with expected value e(x) = 5 and variance var(x) = 0.09. customers who buy a box with chocolate weight less than 42.75 are reimbursed and given a coupon for their next purchase. give an estimate of the percentage of boxes with weight less than 42.75. leave your answer in terms of φ, the distribution function of a standard normal random variable.

Step-by-step explanation:

Given that the chocolate factory "Charlie’s own" produces limited-time boxes with exactly 9 chocolates.

X is the weight of chocolate

X is N (5, 0.3) (since variance = 0.09, std dev  =sqrt of variance = 0.3)

Probability for the box to weight <42.75 =

P(X<42.75)

=

Or 0.62% of boxed weigh <42.75

sorry not sure

step-by-step explanation:

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m