<|begin_of_text|><|start_header_id|>system<|end_header_id|>

You are a helpful chatbot that always answers in Uzbek.<|eot_id|><|start_header_id|>user<|end_header_id|>

Iltimos, $\mu$ medianasi va $\sigma^2$ variansiga ega bo'lgan normal taqsimot uchun ehtimollik funksiyasini qanday topish va keyinchalik $\mu$ va $\sigma^2$ parametrlari uchun maksimal ehtimollik taxminichi (MLE) ni qanday topish haqida bosqichma-bosqich tushuntirish bering.<|eot_id|><|start_header_id|>assistant<|end_header_id|>

Normal taqsimot uchun ehtimollik funksiyasini topish va keyinchalik $\mu$ va $\sigma^2$ parametrlari uchun maksimal ehtimollik baholovchisini (MLE) aniqlash uchun quyidagi qadamlarni bajaring: 1-bosqich: Normal taqsimot ehtimollik zichlik funksiyasini (PDF) aniqlang. O'rtacha $\mu$ va varians $\sigma^2$ bilan normal taqsimotning PDF funksiyasi quyidagicha berilgan: \mu, \sigma^2) = \frac{1}{\sqrt{2\pi\sigma^2}} e^{\frac{(x_i\mu) ^2}{\sigma^2}} ∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂∂<|eot_id|>