<span>The average length of crocodiles in a swamp is 11.5 feet. if the lengths are normally distributed with a standard deviation of 1.7 feet, find the probability that a crocodile is more than 11 feet long.
solution:
To obtain P(x>11) we first need to obtain the value of the z-score:
z=(11-11.5)/1.7
thus
z=-0.2941
thus
P(x>11)=1-P(z<-0.2941)=1-0.3859=0.6141

</span>

7 0

3 years ago

Read 2 more answers

Two semicircles are drawn inside of a circle with radius 8 inches as shown below. Find the area of the shaded region. Round your

Kazeer [188]

Answer:

Step-by-step explanation:

two semicircles each of diameter 8 inches makes one circle with diameter=8 in.

radius r=8/2=4 in.

area of shaded region= πr^2=π×4²=16 π in²

≈16×3.14

≈50.24

≈50.2 in²

4 0

3 years ago

Four couples at a dinner party play a board game after the meal. They decide to play as teams of two and to select the teams ran

Llana [10]

Answer:

0.29

Step-by-step explanation:

We are given that there are 4 couples i.e. 8 people

They decide to play as teams of two and to select the teams randomly

Now we are asked How likely is it that every person will be teamed with someone other than the person he or she came to the party with

For people 1 , there are 6 options for pairing Since he or she cannot pair with his /her own partner

So, Choices For people 1 will be 6 person

So, Probability that person 1 will be teamed with someone other than the person he or she came to the party with = $\frac{\text{No. of choices for Person 1}}{\text{Total no. of choices available}}=\frac{6}{7}$

So, Probability that every person (=8 person) will be teamed with someone other than the person he or she came to the party with = $(\frac{6}{7})^8=0.29$

Hence Probability that every person will be teamed with someone other than the person he or she came to the party with is 0.29

4 0

3 years ago