1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanzania [10]
3 years ago
13

The probability that a randomly selected 2 2​-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0

.98861. ​(a) What is the probability that two randomly selected 2 2​-year-old male garter snake garter snakes will live to be 3 3 years​ old? ​(b) What is the probability that seven seven randomly selected 2 2​-year-old male garter snake garter snakes will live to be 3 3 years​ old? ​(c) What is the probability that at least one of seven seven randomly selected 2 2​-year-old male garter snake garter snakes will not live to be 3 3 years​ old? Would it be unusual if at least one of seven seven randomly selected 2 2​-year-old male garter snake garter snakes did not live to be 3 3 years​ old?
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Answer:

a. Probability = 0.97735

b. Probability = 0.92294

c. P(At\ Least\ One) = 1

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

P(Live) = 0.98861

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)\ and\ P(Live)

Probability = 0.98861 * 0.98861

Probability = 0.9773497321

Probability = 0.97735 <em>--- Approximated</em>

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)^n

Where n = 7

Probability = 0.98861^7

Probability = 0.92294324145

Probability = 0.92294 <em>--- Approximated</em>

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

P(At\ Least\ One) = 1 - P(None).

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

P(Not\ Live) = 0.01139

The probability that none of the 7 lives up to 3 is:

P(None) = P(Not\ Live)^7

P(None) = 0.01139^7

Substitute this value for P(None) in

P(At\ Least\ One) = 1 - P(None).

P(At\ Least\ One) = 1 - 0.01139^7

P(At\ Least\ One) = 0.99999999999997513055642436060443621

P(At\ Least\ One) = 1 ---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

You might be interested in
When rounding to the nearest 100 which number will round to 600
OverLord2011 [107]

Answer:

any number for example:574

Step-by-step explanation:

Depends on what the answer choices are

3 0
3 years ago
Equations with variables on both sides<br> 22x - 33 = 10x + 10 + 5
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

Bringing like terms on one side

22x - 10x = 15 + 33

12x = 48

x = 48/12

x = 4

6 0
3 years ago
11) V = tr2h solve for r2​
Trava [24]

Answer:

r^{2}=\frac{V}{\pi h}

Step-by-step explanation:

To solve an equation for one of its variables do that:

  1. Underline the variable
  2. Separate it one side and the other terms on the other side
  3. Make its coefficient equal to 1

Let us use these steps to solve our question

∵ V = πr²h

→ Underline r²

∴ V = π<u>r²</u>h

→ Take π and h to the other side by dividing both sides by πh

∵ \frac{V}{\pi h}=\frac{\pi r^{2}h}{\pi h}

∴ \frac{V}{\pi h}=r^{2}

→ The coefficient of r² is 1, so switch the two sides

∴ r^{2}=\frac{V}{\pi h}

8 0
3 years ago
James is planning to spend $425 on food for his vacation this summer. This is 34% of his total vacation budget. How much is Jame
AleksandrR [38]

1250$,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

5 0
2 years ago
Total area=<br> Help me please thanks so much
Marysya12 [62]

The total area of the regular pentagon prism is 485 square units

<h3>How to determine the surface area?</h3>

The given parameters are:

Base area = 50

Height = 11

Base = 7

Start by calculating the total area of the 5 sides using

Sides = n * Height * Base

Sides = 5 * 11 * 7

Sides = 385

The total surface area is

Total = 2 * Base area + Sides

This gives

Total = 2 * 50 + 385

Evaluate

Total = 485

Hence, the total area of the regular pentagon prism is 485 square units

Read more about surface areas at:

brainly.com/question/76387

#SPJ1

4 0
2 years ago
Other questions:
  • Al made a tree house last summer. He started by making a model. The model included a window with height one third in. 1/3 in. an
    12·1 answer
  • A three-dimensional object has a depth of 8 inches and a triangular base that has an area of 12 square inches, so it has a volum
    11·2 answers
  • In geometry a train metal tracks and Wooden ties would be Parrell, Skew, perpendicular or none??
    13·1 answer
  • HELP<br> what is the value of “ c”
    9·1 answer
  • Write the equation of the parabola in vertex form.
    6·1 answer
  • A letter that represents a number
    12·1 answer
  • Find the value of one of the variables. Help
    14·1 answer
  • PLEASE HELP ME GUYS :((​
    5·1 answer
  • Heellllppppppppppppppp
    7·2 answers
  • PLSSS HELP IF YOU TURLY KNOW THISS
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!