Can someone help me with this question???<br><br><br><br> AND SHOW WORK!!!

An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation of 50 days. Assuming that bu

notsponge [240]

Answer:

1. 90% 2. 10% 3. 50%

Step-by-step explanation:

Standard Deviation (σ) = 50 days

Average/Mean (μ) = 300days

Probability that it would last more than 300 days = P(Bulb>300 days)

We will assume there are 365 days in a year.

P(Bulb>300 days) implies that the bulb would

Using the normal equation;

z = standard/normal score = (x-μ)/σ where x is the value to be standardized

P(Bulb>300 days) implies x = 365 days

Therefore z = (365-300)/50 = 1.3

Using the normal graph for z=1.3, probability = 90%

2. P(Bulb<300 days) = 1 - P(Bulb>300 days)\

P(Bulb<300 days) = 1 - 0.9

P(Bulb<300 days) = 10%

3. P(Bulb=300 days) implies z=0 since x=300

Using the normal graph for z=0, probability =50%

6 0

3 years ago

a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye flour for a bread recipe. how many cups of white flour does the b

mr_godi [17]

Answer: 3.5 or 3 2/4 a cup of white flower for each cup of rye flower

Step-by-step explanation:

8 3/4 divided by 2 2/4

that's it

5 0

3 years ago

Read 2 more answers

16 times 3/3 is greater than or less than or equal to 16

galina1969 [7]

Less because 3×3=6 and 6 and 16 arent equal

8 0

3 years ago

*PLEASE ANSWER, DIFFICULT QUESTION ASAP* A particular airline offers three free snack options to it's passengers: cookies, chips

Svet_ta [14]

The answer would be 50% because you have the choice two options

4 0

3 years ago

Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop

nlexa [21]

Answer:

The value of the test statistic is $z = 1.78$

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

$\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8$