I NEED AN ANSWER NOW ASAP

Mathematics

2 answers:

babunello [35]2 years ago

8 0

Answer:

Apparently i cant see the photo im am so sorry but do need pints.

Step-by-step explanation:

Ira Lisetskai [31]2 years ago

7 0

Answer:

option b & option c & option d

Step-by-step explanation:

option a: The left side − 0.475 is not less than the right side − 0.5 , which means that the given statement is false.

option b: The left side − 0.3 is less than the right side 0.1 , which means that the given statement is always true.

option c: The left side 9.05 is greater than the right side − 9.72 , which means that the given statement is always true.

option d: The left side 1.5 is equal to the right side 1.5 , which means that the given statement is always true.

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The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran

VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, $X =$ "Comprehensive strength of concrete". We have information that $X$ is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, $X \sim N(2500, 2500)$ .

We want to know the probability of the mean of X or $\bar{X}$ that falls in the interval $[2499;2510]$ . From inference theory we know that :

$\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)$

Now we can find the probability as follows:

$P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )$