contestada

. The weights of bags of red gravel may be modelled by normal distribution with
mean 25.8 kg and standard deviation of 0.5 kg.
(a) Determine the probability that a randomly selected bag of red gravel will
have a weight:
(i) Less than 25 kg;

Respuesta :

lavanyaande

Answer:

The probability is 0.0548 if the weight of the bag of red gravel is 25kg.

Step-by-step explanation:

P(x<25)

=[tex]P\left(z \lt \frac{25-25.8}{0.5}\right)[/tex]

=[tex]P\left(z \lt \frac{25-25.8}{0.5}\right)[/tex]

=[tex]P\left(z \lt -1.6\right)P(x<25)[/tex]

=[tex]P(z<−1.6)[/tex]

Using z-table:

P(x<25)

=[tex]0.0548P(x \lt 25)[/tex]

=[tex]0.0548P(x<25)[/tex]

=0.0548

Hence, the probability is 0.0548.