Hurry please What is the equation of this line

For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains

AnnZ [28]

Answer:

a) There is a 9% probability that a drought lasts exactly 3 intervals.

There is an 85.5% probability that a drought lasts at most 3 intervals.

b)There is a 14.5% probability that the length of a drought exceeds its mean value by at least one standard deviation

Step-by-step explanation:

The geometric distribution is the number of failures expected before you get a success in a series of Bernoulli trials.

It has the following probability density formula:

$f(x) = (1-p)^{x}p$

In which p is the probability of a success.

The mean of the geometric distribution is given by the following formula:

$\mu = \frac{1-p}{p}$

The standard deviation of the geometric distribution is given by the following formula:

$\sigma = \sqrt{\frac{1-p}{p^{2}}$

In this problem, we have that:

$p = 0.383$

So

$\mu = \frac{1-p}{p} = \frac{1-0.383}{0.383} = 1.61$

$\sigma = \sqrt{\frac{1-p}{p^{2}}} = \sqrt{\frac{1-0.383}{(0.383)^{2}}} = 2.05$

(a) What is the probability that a drought lasts exactly 3 intervals?

This is $f(3)$

$f(x) = (1-p)^{x}p$

$f(3) = (1-0.383)^{3}*(0.383)$

$f(3) = 0.09$

There is a 9% probability that a drought lasts exactly 3 intervals.

At most 3 intervals?

This is $P = f(0) + f(1) + f(2) + f(3)$

$f(x) = (1-p)^{x}p$

$f(0) = (1-0.383)^{0}*(0.383) = 0.383$

$f(1) = (1-0.383)^{1}*(0.383) = 0.236$

$f(2) = (1-0.383)^{2}*(0.383) = 0.146$

Previously in this exercise, we found that $f(3) = 0.09$

So

$P = f(0) + f(1) + f(2) + f(3) = 0.383 + 0.236 + 0.146 + 0.09 = 0.855$

There is an 85.5% probability that a drought lasts at most 3 intervals.

(b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?

This is $P(X \geq \mu+\sigma) = P(X \geq 1.61 + 2.05) = P(X \geq 3.66) = P(X \geq 4)$ .

We are working with discrete data, so 3.66 is rounded up to 4.

Either a drought lasts at least four months, or it lasts at most thee. In a), we found that the probability that it lasts at most 3 months is 0.855. The sum of these probabilities is decimal 1. So:

$P(X \leq 3) + P(X \geq 4) = 1$

$0.855 + P(X \geq 4) = 1$

$P(X \geq 4) = 0.145$

There is a 14.5% probability that the length of a drought exceeds its mean value by at least one standard deviation

8 0

3 years ago

Mason compares two plans for an online book club.

horsena [70]

Answer:

Book clubs in the classroom: 10 tips for success

4/19/201746 Comments

Picture

Whether you’re considering a classroom book club for the first time, or are already guiding your students through their third book this year, here’s a list of benefits and some tips for success you can employ right away!

NYC’s District 75 published their Middle School Units of Study, Developing Autonomy when Engaging with Literature, online. In it they list some of the benefits of book clubs in the classroom:

Book clubs:

Promote a love for literature and a positive attitude towards reading;

Reflect a student-centered model of literacy (employing the Gradual

Release of Responsibility);

Encourage extensive and intensive reading;

Invite natural discussions that lead to student inquiry and critical

Thinking;

Support diverse responses to text;

Foster interaction, cooperation and collaboration;

Provide choice and encourage responsibility;

Expose students to literature from multiple perspectives; and

Nurture reflection and self-evaluation.

Thoughtfully planned book clubs position learning in the hands of the students and provide discussion tools students can use as they work out their responses to the book.

We provide approaches to professional development that bridge theory and practice to generate solutions that work for a multitude of schools. With that bridge in mind, enjoy the following as you think through your classroom’s book club possibilities!

Step-by-step explanation:

pls brainlieste

6 0

2 years ago

Which values of a, b, and c represent the answer in simplest form?<br><br> 7/9 * 4/9 = a b/c

myrzilka [38]

Answer:

Option 2: A=1, B=3, C=4

Step-by-step explanation:

7/9÷4/9 = 7/9*9/4
cancel 9 on each side
=7/4
= 1 3/4

4 0

2 years ago

PLZ HELP ASAP!!

zysi [14]

Answer:

b

Step-by-step explanation:

8 0

3 years ago

Two consecutive negative integers have a product of 20. what are the integers?

Liula [17]

The two numbers are -4 and -5.

6 0

3 years ago

Read 2 more answers