A factory packs 25 small shirts,30 medium shirt sand 15 large shirts in a box. This means that the total number of shirts that is packed into a box would be the sum of the small shirt, medium shirt and large shirt. It becomes

25 + 30 + 15 = 70

If 550 boxes are packed with these shirts, it means that the total number of shirts in all the boxes would be

550 × 70 = 38500

6 0

3 years ago

f a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8%, can we use the Normal a

Troyanec [42]

Answer:

Probability of at least 50 obese individuals in our sample is 0.92364 .

Step-by-step explanation:

We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .

Let X = Number of obese individuals

Firstly, X ~ $Binom(n=300,p=0.198)$

For approximating binomial distribution into normal distribution, firstly we have to calculate $\mu$ and $\sigma^{2}$ .

Mean of Normal distribution, $\mu$ = n * p = 300 * 0.198 = 59.4

Variance of Normal distribution, $\sigma^{2}$ = n * p * (1-p) = 300 *0.198 *0.802 = 47.64

So, now X ~ N( $\mu = 59.4 , \sigma^{2} = 47.64$ )

The standard normal z score distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

So, probability of at least 50 obese individuals in our sample = P(X >= 50)

P(X >= 50) = P(X > 49.5) {using continuity correction}

P(X > 49.5) = P( $\frac{X-\mu}{\sigma}$ > $\frac{49.5 - 59.4}{6.9}$ ) = P(Z > -1.43) = P(Z < 1.43) = 0.92364

Therefore, required probability is 0.92364 .

8 0

3 years ago

Using the numbers 15, 8, 5, 12 equals 17

Yuki888 [10]

Answer:

12+5=17

Step-by-step explanation:

4 0

3 years ago